{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第4章 随机变量的概率分布"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 本章需要用到的库\n",
    "import numpy as np # 导入numpy库\n",
    "import pandas as pd # 导入pandas库\n",
    "from scipy.stats import binom, norm, chi2, t, f # 导入二项分布、正态分布、卡方分布、t分布、F分布\n",
    "import matplotlib.pyplot as plt # 导入matplotlib库\n",
    "import seaborn as sns # 导入seaborn库\n",
    "\n",
    "# 设置初始化\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] # 用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus'] = False # 用来正常显示负号"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.1 什么是概率"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.2 随机变量的概率分布"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2.1 随机变量及其概括性度量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>不合格品数</th>\n",
       "      <th>概率</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>0.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>0.05</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   不合格品数    概率\n",
       "0      0  0.75\n",
       "1      1  0.12\n",
       "2      2  0.08\n",
       "3      3  0.05"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "example4_1 = pd.read_csv('./pydata/chap04/example4_1.csv', encoding='gbk') # 读取数据\n",
    "example4_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "期望值： 0.43\n",
      "方  差： 0.7051\n",
      "标准差： 0.8397\n"
     ]
    }
   ],
   "source": [
    "mymean = sum(example4_1['不合格品数'] * example4_1['概率']) # 计算期望值\n",
    "myvar = sum((example4_1['不合格品数'] - mymean)**2 * example4_1['概率']) # 计算方差\n",
    "mystd = np.sqrt(myvar) # 计算标准差\n",
    "\n",
    "print('期望值：', round(mymean, 4)) # 输出期望值\n",
    "print('方  差：', round(myvar, 4)) # 输出方差\n",
    "print('标准差：', round(mystd, 4)) # 输出标准差"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2.2 随机变量的概率分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1000 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二项分布Binomial(5, p)图\n",
    "plt.figure(figsize=(12, 10)) # 设置画布大小\n",
    "for p in np.linspace(0.1, 0.9, 9):\n",
    "    p = round(p, 1) # 保留一位小数\n",
    "    plt.subplot(3, 3, round(p*10)) # 设置子图位置\n",
    "    x = np.arange(0, 6, 1) # 生成x轴数据\n",
    "    y = binom.pmf(x, 5, p) # 生成y轴数据\n",
    "    plt.bar(x, y, alpha=0.5, label=f'p={p}') # 绘制柱状图\n",
    "    plt.title(f'B(5, {p})') # 设置子图标题\n",
    "    plt.ylim(0, 0.6) # 设置y轴范围\n",
    "    plt.ylabel('P') # 设置y轴标签\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X =0)= 0.733904\n",
      "P(X =1)= 0.234225\n",
      "P(X<=3)= 0.999938\n"
     ]
    }
   ],
   "source": [
    "# 计算二项分布的概率\n",
    "p0 = binom.pmf(0, 5, 0.06) # 没有不合格品的概率\n",
    "p1 = binom.pmf(1, 5, 0.06) # 恰好有1个不合格品的概率\n",
    "p3 = binom.cdf(3, 5, 0.06) # 最多有3个不合格品的概率\n",
    "print('P(X =0)=', round(p0, 6)) # 输出没有不合格品的概率\n",
    "print('P(X =1)=', round(p1, 6)) # 输出恰好有1个不合格品的概率\n",
    "print('P(X<=3)=', round(p3, 6)) # 输出最多有3个不合格品的概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制正态分布曲线\n",
    "plt.figure(figsize=(12, 4)) # 设置画布大小\n",
    "\n",
    "# N(-2, 1)和N(2, 1)的概率密度函数图\n",
    "plt.subplot(1, 2, 1) # 设置子图位置\n",
    "x = np.linspace(-6, 6, 100) # 生成x轴数据\n",
    "y1 = norm.pdf(x, -2, 1) # 生成y轴数据\n",
    "y2 = norm.pdf(x, 2, 1) # 生成y轴数据\n",
    "plt.plot(x, y1, '-', label='N(-2, 1)') # 绘制曲线\n",
    "plt.plot(x, y2, '--', label='N(2, 1)') # 绘制曲线\n",
    "plt.ylabel('Density') # 设置y轴标签\n",
    "plt.legend() # 显示图例\n",
    "\n",
    "# N(0, 0.5)、N(0, 1)和N(0, 2)的概率密度函数图\n",
    "plt.subplot(1, 2, 2) # 设置子图位置\n",
    "x = np.linspace(-4, 4, 100) # 生成x轴数据\n",
    "y1 = norm.pdf(x, 0, 0.5) # 生成y轴数据\n",
    "y2 = norm.pdf(x, 0, 1) # 生成y轴数据\n",
    "y3 = norm.pdf(x, 0, 2) # 生成y轴数据\n",
    "plt.plot(x, y1, '-', label='N(0, 0.5)') # 绘制曲线\n",
    "plt.plot(x, y2, '--', label='N(0, 1)') # 绘制曲线\n",
    "plt.plot(x, y3, ':', label='N(0, 2)') # 绘制曲线\n",
    "plt.ylabel('Density') # 设置y轴标签\n",
    "plt.legend() # 显示图例\n",
    "\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=40)    = 0.1587\n",
      "P(30<X<=40) = 0.1359\n",
      "P(Z<=2.5)   = 0.9938\n",
      "P(-1.5<Z<=2)= 0.9104\n",
      "q(0.25)     = -1.96\n"
     ]
    }
   ],
   "source": [
    "# 计算正态分布的概率和分位数\n",
    "p1 = norm.cdf(40, loc=50, scale=10) # P(X<=40)\n",
    "p2 = norm.cdf(40, 50, 10) - norm.cdf(30, 50, 10) # P(30<X<=40)\n",
    "p3 = norm.cdf(2.5, loc=0, scale=1) # P(Z<=2.5)\n",
    "p4 = norm.cdf(2) - norm.cdf(-1.5) # P(-1.5<Z<=2) 默认为标准正态分布\n",
    "q = norm.ppf(0.025, loc=0, scale=1) # P(Z<=q)=0.025 累积概率为0.025时的Z值\n",
    "print('P(X<=40)    =', round(p1, 4)) # 输出P(X<=40)\n",
    "print('P(30<X<=40) =', round(p2, 4)) # 输出P(30<X<=40)\n",
    "print('P(Z<=2.5)   =', round(p3, 4)) # 输出P(Z<=2.5)\n",
    "print('P(-1.5<Z<=2)=', round(p4, 4)) # 输出P(-1.5<Z<=2)\n",
    "print('q(0.25)     =', round(q, 4)) # 输出P(Z<=q)=0.025时的q"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2.3 其他几个重要的统计分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制不同自由度的chi2分布曲线\n",
    "plt.figure(figsize=(12, 6)) # 设置画布大小\n",
    "np.random.seed(1234) # 设置随机数种子\n",
    "# 自由度为2, 5, 10, 15, 20, 30的chi2分布曲线\n",
    "for i, df in enumerate([2, 5, 10, 15, 20, 30]):\n",
    "    plt.subplot(2, 3, i+1) # 设置子图位置\n",
    "    # 抽样数据的直方图\n",
    "    sample = chi2.rvs(df, size=1000) # 生成抽样数据\n",
    "    sns.histplot(sample, bins=20, stat='density', alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "    x = np.linspace(0, 60, 100) # 生成x轴数据\n",
    "    y = chi2.pdf(x, df) # 生成y轴数据\n",
    "    plt.plot(x, y, '-') # 绘制曲线\n",
    "    plt.title(f'df={df}') # 设置子图标题\n",
    "    plt.ylabel('Density') # 设置y轴标签\n",
    "plt.tight_layout() # 设置子图间距\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=10, 15)= 0.18026\n",
      "P(X>15, 25) = 0.941383\n",
      "q(0.95, 10) = 18.307038\n"
     ]
    }
   ],
   "source": [
    "# 计算卡方分布的概率和分位数\n",
    "p1 = chi2.cdf(10, df=15) # 自由度为15，卡方值小于等于10的概率\n",
    "p2 = 1 - chi2.cdf(15, df=25) # 自由度为25，卡方值大于15的概率\n",
    "q = chi2.ppf(0.95, df=10)  # 自由度为10，累积概率为0.95时的卡方值\n",
    "print('P(X<=10, 15)=', round(p1, 6)) # 输出自由度为15，卡方值小于等于10的概率\n",
    "print('P(X>15, 25) =', round(p2, 6)) # 输出自由度为25，卡方值大于15的概率\n",
    "print('q(0.95, 10) =', round(q, 6)) # 输出自由度为10，累积概率为0.95时的卡方值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制不同自由度的t分布曲线\n",
    "plt.figure(figsize=(7, 4)) # 设置画布大小\n",
    "\n",
    "# N(0, 1)、t(5)、t(2)\n",
    "x = np.linspace(-4, 4, 100) # 生成x轴数据\n",
    "y1 = norm.pdf(x, 0, 1) # 生成y轴数据\n",
    "y2 = t.pdf(x, 5) # 生成y轴数据\n",
    "y3 = t.pdf(x, 2) # 生成y轴数据\n",
    "plt.plot(x, y1, '-', label='N(0, 1)') # 绘制曲线\n",
    "plt.plot(x, y2, '--', label='t(5)') # 绘制曲线\n",
    "plt.plot(x, y3, ':', label='t(2)') # 绘制曲线\n",
    "plt.ylabel('Density') # 设置y轴标签\n",
    "plt.legend() # 显示图例\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=-2, 10)= 0.036694\n",
      "P(X>3, 15)  = 0.004486\n",
      "q(0.975, 25)= 2.059539\n"
     ]
    }
   ],
   "source": [
    "# 计算t分布的概率和分位数\n",
    "p1 = t.cdf(-2, df=10) # 自由度为10，t值小于等于-2的概率\n",
    "p2 = 1 - t.cdf(3, df=15) # 自由度为15，t值大于3的概率\n",
    "q = t.ppf(0.975, df=25) # 自由度为25，累积概率为0.975时的t值\n",
    "print('P(X<=-2, 10)=', round(p1, 6)) # 输出自由度为10，t值小于等于-2的概率\n",
    "print('P(X>3, 15)  =', round(p2, 6)) # 输出自由度为15，t值大于3的概率\n",
    "print('q(0.975, 25)=', round(q, 6)) # 输出自由度为25，累积概率为0.975时的t值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制不同自由度的F分布曲线\n",
    "plt.figure(figsize=(7, 4)) # 设置画布大小\n",
    "# F(10, 20)、F(5, 10)、F(3, 5)\n",
    "x = np.linspace(0, 5, 100) # 生成x轴数据\n",
    "y1 = f.pdf(x, 10, 20) # 生成y轴数据\n",
    "y2 = f.pdf(x, 5, 10) # 生成y轴数据\n",
    "y3 = f.pdf(x, 3, 5) # 生成y轴数据\n",
    "plt.plot(x, y1, '-', label='F(df1=10, df2=20)') # 绘制曲线\n",
    "plt.plot(x, y2, '--', label='F(df1=5, df2=10)') # 绘制曲线\n",
    "plt.plot(x, y3, ':', label='F(df1=3, df2=5)') # 绘制曲线\n",
    "plt.ylabel('Density') # 设置y轴标签\n",
    "plt.legend() # 显示图例\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=3, 10, 8)  = 0.933549\n",
      "P(X>2.5, 18, 15)= 0.03945\n",
      "q(0.95, 25, 20) = 2.07392\n"
     ]
    }
   ],
   "source": [
    "# 计算F分布的概率和分位数\n",
    "p1 = f.cdf(3, dfn=10, dfd=8) # 分子自由度为10，分母自由度为8，F值小于等于3的概率\n",
    "p2 = 1 - f.cdf(2.5, dfn=18, dfd=15) # 分子自由度为18，分母自由度为15，F值大于2.5的概率\n",
    "q = f.ppf(0.95, dfn=25, dfd=20) # 分子自由度为25，分母自由度为20，累积概率为0.95时的F值\n",
    "print('P(X<=3, 10, 8)  =', round(p1, 6)) # 输出分子自由度为10，分母自由度为8，F值小于等于3的概率\n",
    "print('P(X>2.5, 18, 15)=', round(p2, 6)) # 输出分子自由度为18，分母自由度为15，F值大于2.5的概率\n",
    "print('q(0.95, 25, 20) =', round(q, 6)) # 输出分子自由度为25，分母自由度为20，累积概率为0.95时的F值"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4.3 样本统计量的概率分布"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.1 统计量及其分布"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.2 样本均值的抽样分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x600 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 中心极限定理的模拟及可视化\n",
    "# 随着抽样样本量的增大，样本均值的分布越来越接近正态分布\n",
    "plt.figure(figsize=(16, 6)) # 设置画布大小\n",
    "np.random.seed(1234) # 设置随机数种子\n",
    "n_sample = [2, 10, 30] # 抽样量\n",
    "\n",
    "plt.subplot(2, 4, 1) # 设置子图位置\n",
    "U = np.random.uniform(0, 100, 5000) # 生成5000个均匀分布随机数作为总体U\n",
    "sns.histplot(U, bins=30, stat='density', kde=True, alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "plt.xlim(0, 100) # 设置x轴范围\n",
    "plt.title('U, 总体的分布') # 设置子图标题\n",
    "plt.ylabel('Density') # 设置y轴标签\n",
    "plt.xlabel('总体分布') # 设置x轴标签\n",
    "\n",
    "for i, n in enumerate(n_sample):\n",
    "    plt.subplot(2, 4, i+2) # 设置子图位置\n",
    "    sample = np.zeros(5000) # 初始化抽样均值\n",
    "    for i in range(5000):\n",
    "        sample[i] = np.mean(np.random.choice(U, n)) # 随机选择n个样本，计算样本均值\n",
    "    sns.histplot(sample, bins=30, stat='density', kde=True, alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "    plt.xlim(0, 100) # 设置x轴范围\n",
    "    plt.title(f'U, n={n}, 样本均值的分布') # 设置子图标题\n",
    "    plt.ylabel('Density') # 设置y轴标签\n",
    "    plt.xlabel('样本均值') # 设置x轴标签\n",
    "\n",
    "plt.subplot(2, 4, 5) # 设置子图位置\n",
    "E = np.random.exponential(1, 5000) # 生成5000个指数分布随机数作为总体E\n",
    "sns.histplot(E, bins=30, stat='density', kde=True, alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "plt.xlim(0, 5) # 设置x轴范围\n",
    "plt.title('E, 总体的分布') # 设置子图标题\n",
    "plt.ylabel('Density') # 设置y轴标签\n",
    "plt.xlabel('总体分布') # 设置x轴标签\n",
    "\n",
    "for i, n in enumerate(n_sample):\n",
    "    plt.subplot(2, 4, i+6) # 设置子图位置\n",
    "    sample = np.zeros(5000) # 初始化抽样均值\n",
    "    for i in range(5000):\n",
    "        sample[i] = np.mean(np.random.choice(E, n)) # 随机选择n个样本，计算样本均值\n",
    "    sns.histplot(sample, bins=30, stat='density', kde=True, alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "    plt.xlim(0, 5) # 设置x轴范围\n",
    "    plt.title(f'E, n={n}, 样本均值的分布') # 设置子图标题\n",
    "    plt.ylabel('Density') # 设置y轴标签\n",
    "    plt.xlabel('样本均值') # 设置x轴标签\n",
    "\n",
    "plt.tight_layout() # 设置子图间距\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.3 样本方差的抽样分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tiiktLa3Z6zfVk6SmpqZRT5A5c+aI0aNHN3sNq9Xq0VPn4YcfFlOmTHHnuqNHjwoAIjMzU6xevVocP37cnduEEOKmm24Szz77rPv1I488IjQajfjuu+/EmDFjWsxRgwYNEqdPnxZDhgwRO3bs8Ihr27ZtIiwsrFW5bsKECW26r9Q5sACkgANADBkyxP2L2mazCZ1OJ1avXi0cDoewWq3Nbud6//33hUwmE3PnzvV6nGvWrBGxsbEiOTlZ3H333UIul4vMzExRXFwsysvLRXV1tUhLSxMrVqwQ1dXVoqqqSlRVVTV5Lr1eL2JjY8W8efNEVVWVACC2bNkiJk2a1KZf3itWrBAKhULo9XpRX1/v3j755BMBQOj1eo/j9+7d2+qC6dztbFFRUY3eHz58uBBCiGPHjgmZTOYuAk+dOiUACKPR6G5fV1cnKisrhdlsFllZWeLgwYMCgPj888/dXXJOnjwpAIi1a9cKIYRH0VpXVyfuvPNOodVqxaxZs8TQoUPd7T7//HMRFBTk0b0nNTVVrFmzptX3lYiorbyZy5oqAF9++WUBQBw9etRjf2xsrJg0aZLXfo6amhoRGxsrRowYIcaMGSP69esnHnzwQWE0GkVxcbEwGo3iqaeeEmPHjhXV1dXCYDA0OVTA5d577xWxsbGipqbGXQB++umnQq1WN9ntsim1tbVCoVCIFStWeOS6+vp6ER4eLl555ZVGbYYMGXJBue7sYRwPP/xwk8ccPHhQCCHE6NGjPbp8ZmRkiFdffdUjjoKCAiGEEHl5eSInJ0dMnDhRTJ8+3SNH3Xjjje7/3ucOLVmzZo0ICgoS999/vwAgvv/+e4/c9sYbb7hfP/roo+L6669v1T2lzoXLQFBAmjt3rrvLnlwuR0REBKxWK7Zu3QqlUtnslpOT4z7Hhx9+iDvvvBO33347/vnPf3o1PqvViqeffhpz5syBUqnE2LFjce2112Lbtm3o1q0boqKiEBIS4jHwPTw8vNnuHo8++ihMJhOefPJJj/3PP/88tm7d2qp1iQDgf//7HwYNGoSwsDB3N1WNRoOqqioEBQUhLCzM4/hLLrkEVVVVqK2tRX19PTIzM6HVavHmm2+ivr6+ya2mpsY9MP9sW7ZscQ+yX7VqlXt/3759MX36dPe01lVVVZDL5R7dg7RaLSIiIqBSqdCrVy/34P7LL78cSUlJSEpKcncJdXUROnsg/5IlS7BmzRp89tlnGDt2LFQqlbtdTEwMJElyv05KSoJcLm9ykhwiIm/yRi5rjmtCD71e77HfYDB4dbKPpUuXIjg4GJMmTYJCocBzzz2H7du3Izg4GN26dXNPZCaXyxESEgKdTuceEnGubdu24a233sLChQs9uipOnTrVPcnXuWvrNeX777+HzWbDqFGjPHKdXC6HXq9HYmJik21qampQX1+P2tpajBs3DhkZGc3murq6Ouj1etx6660e55k1a5Y714lz5ll85pln8OGHHyIvLw+AM9+duySEq3tv9+7dkZKSgry8PAwZMsQjR+n1+iZz3dGjR3HXXXdh+vTp7snVunXr5pHbIiMj3a91Oh1zXRfFQS8UkJqbvay14ya2bNmCO++8E3fccQfefvvtRrN+XayXX34ZxcXFePDBB92zr3300UfQ6/UoKChASEgI5HI5hBAwm82oqamBEAJ1dXUIDQ31GB/46quv4t///jfefPNNxMXFeSTzwYMHY/HixXj00UcBoNk17QDnukRfffUVFi5c2Oi90tJS9xiBsykUCndRWlFRgZkzZyI2NhZXXHEFysrKPMbhiYZxjLGxsYiOjm7T/frd736HhQsXwmq1NpkQz7V+/Xr07t3bY3xHQUEBADQ5RuTpp5/Grbfeir59++Ktt95qU2xERO3lYnNZSwYMGADAWRS4luXJycmB2WxucsmIC5GdnY0XXngBr7/+OgoLCwEA06ZNw+jRo5GXl4fQ0FCo1WpYLBbY7XbU1NQAgHut2LPHv506dQq//e1vMWbMGNx3330e15EkCe+99x5GjhyJq6++Gl999VWTOcvlzTffRN++fTF48GCP/aWlpQCAmJiYRm3O/gD28ccfx9atW/H++++juLi40Rhxi8UChULRpjGJAPCb3/wGQ4cOxenTp5GcnHzefHfq1CkcO3YMV1xxhcf+goIC3HTTTY2O79+/PzIzM9G7d2+uYUstYgFIAam5gdahoaGNliU4V21tLWbNmoWJEye2S/EHOJ+cPf7444iMjHTvCwkJwZQpU/C///3P49j77rvPI9mtWrUKs2fPBgC8/fbbmD9/PmbNmoVLL70Uhw4dci+nkJeXhyNHjmD8+PG45557sHDhQuzatQvLly93T3BztsceewxqtRq///3vG71XWlraZEJ0KSgowPXXX4+amhr06tULQ4YMgVqtRn19PSRJglardReAb775ZpvXU5wwYQImTJgAwDn1d0sJMScnB//85z/x+OOPN4pRq9U2W3y6JkI49xPZplit1hbXSyIi8oaLyWXnM3ToUKSlpWHjxo246667ADjXNQWcT9S8ITo6GldddRVmzZqFxYsXA3AWa9999x3uuOOORsef3bNj3Lhx+P777wE4ly644YYboFAosGTJEhw8eBBqtRo1NTWQJAnHjh2D2WzGa6+9hvvuuw/Dhg3Dm2++ieuvv77RNbZs2YKvvvrKY30+l5YKQMA5Cdnjjz+Ol19+GXfeeSdmzZrlXs+3trbW3UvGYrFg1KhRjfL5+UiS5FHYny/fPfLII+jfv3+jSeoKCwvRvXv3Jtv06dMHAHMdtYwFIHU5K1euRGFhIZYtW4adO3d6vOf6lPTUqVOoq6vDoEGDLugaN954Y5OJ6auvvoJMJoNarYYkSejVqxeefPJJd8FnsVgAOH9xz5s3D8uXL8f48eOxfPlyJCcnuxdfB5xrCEqShPr6enz33XdITU3Fk08+ialTp+LHH390Jy3A2QXy3XffxYoVK5pMfDk5Oc0mxHXr1uF3v/sdunXrhm3btnkknZkzZyIkJKTJRHuuq666yuP18OHDmzyupU9Ed+7ciWnTpqFnz5548MEHPd7LyspqNiGezfXJc1M++eQTfPPNN8jPzz/vU0giIn/3wAMP4KGHHsKyZcuQlpaGZ555Btdffz1SU1MBOGfqPHLkCAYPHnxB652Ghobi66+/blTI3nrrrZg6dSpUKhUUCgX++te/4ttvv3UXfHa73f27eOPGje51XTdv3owPP/wQK1asgFardReAP/zwA+rr6zFz5kxs3boVkyZNwtSpU7FlyxaP4ujw4cOYPn06Ro0a1eSHna6us03lu4KCAsyePRs//vgj3n//fdx222149913AQDffvstJk2a1Kg7bVPeffddd7uWmM1m1NfXN5lrqqurcdddd2Hjxo349ttvPYq0/Px8mEym8z59bCnXnT59Gq+99hrWrl3bKDdT18ACkLqcPXv2wG634+abb270nusTs+eeew779u3Dvn37Lvg6roTocDjgcDgA4LwJ1rXMAuAsRvPy8vDJJ59Aq9W6x9VVVFQgOjoaa9euxfjx493HjxkzBsOHD3c/nQOA4uJi3Hffffjyyy9x//33Y86cOe7jT506hR9//BG5ubnYsGED7r///kbxfPHFF/jtb3+LWbNmYcGCBQCAM2fOuN+vq6uDJEke+ywWC9RqtccYC6vVinfffde9bMTatWvx8ccfe1zrtddeQ2VlJdasWYNhw4Z5vHf69GksWbIEb7/9Ni6//HJ8/fXX7p/x3XffxYYNG7Bx40b3U8Tz3eOzux3Z7Xb3fx+Hw4FffvkFTz75ZKPlI4iIAs0DDzwAo9GIF198ETU1Nbj22mvx5ptvut/PzMzEVVddhb179yI9Pf2CrtFUrnONVWypjSsf9unTB5dccgmWLVuGSy+9FJdeeimWLl0KwPlhakREBP7zn/94tN+7dy/27t3rLv4cDgdeffVV/OUvf0F8fDw+++wzd+8eIQTef/99VFdX4/XXX0d4eLhHDgCcBZdrvODGjRvRo0cPj7xWXl4OwDP/2e12mEwm9O7d230tq9WKKVOmuJ+GAs5umTabzf36hx9+wLZt23Do0CEEBQV59Ngxm814++238be//Q0GgwEbN27EmDFjADhz9jPPPIMDBw5AoVB4LO/RFLvdjm7dunl0X3Xlu+TkZHzxxRcYNWpUo9401EX4YuYZIn939OhR8fvf/94r50pMTBQrVqxo8r2ePXu2eVHWoqIiAUBs3LjxvMf+8ssvIiEhQTz33HON3svNzRUymUzIZDJx6aWXitOnTzd5jt27dwshnLOXabVaERYW1uIWFBQkbrnlFo9zJCcni+3bt7tfr1u3Ttx6660ex8yZM0cMGDBAzJ492z0LmktBQYEYPHiw+Otf/yosFovHe99++61ITU0Vd955p8jKyjrvPTnX5s2bhUKhaHM7IqLOYOLEiaK2tvaiz/PEE0+Iyy+/vMn3nnvuOZGRkdHmc15zzTVi+vTp5z3OaDSKm266SWRkZLgXPT/bb37zGwFAxMXFNZtzjx8/LoxGo1ixYoVQqVRCp9O1mOtCQkKEQqEQ1dXV7nM8+uij4oEHHvA472WXXSYOHTrkfr1161aRkJAgrr76arFu3TqPYx0Oh/jjH/8orrvuOpGdne3xnt1uF4MGDRITJ04UH3744XnvSVMSExPF6tWrL6gtdS58AkjUhC+++KLRIPQLZbVa3V07m9JSN43mzgegxXO6jBw5EidOnGhy4dfk5GTs378fKSkpTS4i7OLqqrl9+/Y2xXm23Nxcj9c33HADbrjhBo99LXUjTUhIwL59+5ocqzBhwgRkZ2dfcGxWqxU2m63ZxeWJiDqroqIi9OvX74K6f57L27muNed0CQ0NxZo1ayCXyxtN2AI4x9YLIVocJuAaOzdnzhyP3jJt8dJLLzXat2PHDo/XV1xxhXvSsnNJkoR//OMfTeYimUyGAwcOXFBcLq29n9T5SUK0YpQoEbWL6upqqNVqj66fREREnYnZbIbVakVISIivQyEisAAkIiIiIiLqMrgQPBERERERURfBApCIiIiIiKiLYAFIRERERETURXT5WUAdDgcKCwsRGhrKGQCJiAKcEALV1dVISEhwr83VFTG3ERF1Du2R17p8AVhYWNjitMBERBR48vPzPRZY7mqY24iIOhdv5rUuXwC61j/Lz8+HTqfzcTRERHQxjEYjunfv3uLall0BcxsRUefQHnmtyxeArq4xOp2OSZKIqJPo6t0emduIiDoXb+a1rjtAgoiIiIiIqIthAUhERERERNRFsAAkIiIiIiLqIlgAEhERERERdREsAImIiIiIiLoIFoBERERERERdBAtAIiIiIiKiLoIFIBERERERURfBApCIiIiIiKiLYAFIRERERETURSh8HYC/eP27k9AEh3j1nPOv7uPV8xEREZGnZZtPtOo45mQiIic+ASQiIiIiIuoiWAASERERERF1ESwAiYiIiIiIugiOASQiIqJORQiBQr0JVfUWJIZpER6k9HVIRER+gwUgERERdRr6Ogs2HCpGabXZva9XTAj+ML43VAp2fCIi4m9CIiIi6hRqzTas3VuA0mozFDIJ8WEayCTgZFkN5n2QCavd4esQiYh8jgUgERERBTyHQ+DrA4UwmmwI0yoxa1QqbhnRHTcNSYBcJmHzkRKs2p7t6zCJiHyOBSAREREFvAMFBpQYzVArZJiSnoAQjXOUS0pUMK7qGwMAePV/J1FabfJlmEREPscCkIiIiAJardmGn09VAABG94xCeJDK4/0B8ToMSQpDjdmGlzcd90WIRER+gwUgERERBbRdOZWw2B2IDVXjksSwRu9LkoSnbxwIAPg8swDFBj4FJKKuiwUgERERBaxasw2HCo0AgDG9oiGTpCaPG54SgZGpkbA5BN7/JbcjQyQi8it+VwCePn0a48aNQ2hoKK688krk5p7/l/SmTZvQp08fBAcHY/r06airq+uASImIiMjX9ubrYXcIxOk06B6hbfHY2WNSAQAf/JIHk9XeAdEREfkfvysA7733XiQnJ+PQoUOIiorCvHnzWjxer9fjlltuwUMPPYTDhw8jJycHzz//fAdFS0RERL5SY7bh4BkDAODS1AhIzTz9c5k4oBsSwjSoqLVgw6GijgiRiMjv+FUBaLFY8N1332HBggVISUnB3XffjR9//LHFNmvXrkVSUhLuu+8+pKam4s9//jNWr17dQRETERGRr6zdWwCL3YGIICV6RAef93iFXIZbL01uaFvY3uEREfklvyoArVYrXnrpJfTo0QMAUFFRAa225e4c27dvx+jRo92vL7vsMuTl5SE/P79dYyUiIiLfEUJg9c/OYSKDk8LP+/TPZXJ6AgBgW1YZl4Qgoi7JrwrA4OBgPPLII9BqtbBarXj11Vdxxx13tNimuLgY0dHR7tdRUVEAgJKSkiaPN5vNMBqNHhsREREFlp3ZlTheUg2FTEL/uNBWt0uNDsbQ5HA4BPD1fnYDJaKux68KQBebzYYZM2ZAJpNh0aJF5z1eCNHo++Y+CVy8eDHCwsLcW/fu3b0TNBEREXWYj3c5e/r0jQuFWilvU9sp6YkAgC/3FXg9LiIif+d3BaDD4cD06dNx8uRJbNiw4bxdQOPj41FWVuZ+XVHhXAg2Li6uyeMXLFgAg8Hg3thVlIiIKLDUmm3YeLgYADAwQdfm9jcMjodMAg6cMSC/kjOHE1HXovB1AOdatGgRTp48ie+//x7h4eHnPT4jIwOLFy92v96xYwdSU1ORmJjY5PFqtRpqtdpb4RIREVEH23S4GHUWO1KjghCn07SqzbLNJzxex4dpUaCvxxNrD2JocoR7//yr+3g1ViIif+NXTwCLi4uxbNkyLF++HIBziQe9Xg+HwwGj0Qir1dqozeTJk1FUVITly5cjJycHS5YswcyZMzs6dCIiohYVFRVh3Lhx2LdvX6uO5xq3zVu719l187dDk1o9+cu5esY4Zw09VVbrtbiIiAKBXxWAmzZtgtFoxOjRoxEREeHe8vLyMHjwYKxfv75Rm7CwMKxZswZLly7FgAED0KNHDyxYsMAH0RMRETVtzpw5SEhIwA8//NCq47nGbfOKDSZsO1kOAPjt0KZ7+7RGz5gQAEChvh51FptXYiMiCgR+VQDOmjULQohGW2pqKnJycjBlypQm202cOBFZWVmoq6vDRx99hKCgoI4NnIiIqAXPP/88srOzW30817ht3pf7CiCEc+H35KgLz/c6rRIxIWoIANnlfApIRF2HXxWAREREnVF0dDRSU1NbfTzXuG2aEAKfZzq7f04dlnTR52M3UCLqilgAEhER+Rmucdu0I0VGHC+phkohw/WD4i/6fD1jnd1A8yrrYLE5Lvp8RESBgAUgERGRH+Iat4190TD5y9X9uyFMq7zo80UFqxCmVcLuEMit4FNAIuoaWAASERH5Ga5x25gQAv896Fz776b0BK+cU5KkX7uBchwgEXURLACJiIj8TEZGBn766Sf369ascavT6Ty2zmb/GQMK9PUIVskxrk+M187rmg00u7wWdoc4z9FERIHP7xaCJyIi6iqMRiO0Wi2USs/ujJMnT8YDDzyA5cuX47rrruuSa9yeu3D7tizn0g+JEVos//6U164TH6ZBkEqOOosdZ6q41iIRdX58AkhEROQjXOO2dYQQyCqtBgD0api4xVskSUJaQzfQk2U1Xj03EZE/4hNAIiKiDnL2xC4AkJOT0+yxrjVuCSitNsNoskEhk5AaFez18/eKCcGhAiNOlzm7gcplTU+2Q0TUGfAJIBEREfm1k6XOJ3M9ooOhlHv/T5ekiCCoFTLUWezIzKvy+vmJiPwJC0AiIiLyW87un84C0NvdP13kMgk9op1PFjceKm6XaxAR+QsWgEREROS3ymssMNRbIW+n7p8uruJy46HiRl11iYg6ExaARERE5Ldck7+kRgVBpWi/P1uSI4OgkEko0NfjcKGx3a5DRORrLACJiIjIb50qcy7Q3l7dP12Ucpn7CSO7gRJRZ8YCkIiIiPySod6KyloLJAnt2v3TpWdsQwF4mAUgEXVeLACJiIjIL51uWJcvMUwLjVLe7tdzzjIq4WRpDY4XV7f79YiIfIEFIBEREfml7HJn988eMe3/9A8A1Ao5ruobCwBYu7egQ65JRNTRWAASERGR3zHb7CjQ1wOAe4mGjvDboYkAgC/3FcDh4GygRNT5sAAkIiIiv5NbUQeHACKClIgIUnXYda/qFwudRoEigwk7sis67LpERB2FBSARERH5HXf3zw58+gcAGqUcNwyOBwB8tofdQImo82EBSERERH7FZncgp6EATItu3+UfmnLz8O4AgHUHCqGvs3T49YmI2hMLQCIiIvIrmXl6mGwOqBUyxIdpOvz6w5LD0T9eB7PNgU/3nOnw6xMRtScWgERERORX/ne0BACQGh0MmUzq8OtLkoSZlycDAD74JQ9CcDIYIuo8WAASERGRX9lyvBQA0KMDFn9vzuT0RISoFThdXovvj5f5LA4iIm9jAUhERER+o9RowokS5wLwyVFBPosjRK3AbSOdYwH/9f1Jn8VBRORtLACJiIjIb2w7WQ4AiA1VQ6uU+zSW32ekQSWXYVdOFXZmV/o0FiIib2EBSERERH5jW5azAEyO9N3TP5duOg2mDU8CAPzjfyc4FpCIOgUWgEREROQXhBDuJ4D+UAACwNwre0Ill2H7yQp8f4JjAYko8LEAJCIiIr+QVVqD0mqzz5Z/aEr3yCDMHpMKAFj836Ow2R2+DYiI6CIpfB0AEREREQD82ND9c2SPSCjkvvmMetnmE432SQA0ChlOlNTg7nd3I717OOZf3afjgyMi8gI+ASQiIiK/sL2h+2dG72gfR+JJo5RjdE9nTD+fqkC1yerjiIiILhyfABIREZHPWWwO7DhdAQAY2ysGmw4X+zgiT5ck6nC02IgigwlbT5Q1+aSwOXxaSET+hE8AiYiIyOf25lWhzmJHVLAK/eJCfR1OI5IkYXy/WMgk4FRZLU6X1fg6JCKiC8ICkIiIiHzO1f1zTK9oyGSSj6NpWnSIGkOTIwAAW46XwWLjhDBEFHhYABIREZHPuZZ/GOtn4//OdVmPSOg0CtSYbdiRXeHrcIiI2owFIBEREflUvcWOA2cMAIBRaVE+jqZlSrkMV/WNBQDsy9OjtNrk44iIiNqGBSARERH51L58PWwOgTidBkkRWl+Hc16p0cHoExsCAeB/R0vhEMLXIRERtRoLQCIiIvKpPbmVAIDhqRGQJP8c/3euK/rEQKWQobTa7H56SUQUCFgAEhERkU/tyqkCAFyaEuHjSFovWK3AmJ7O7qo/n6pAjcnm44iIiFqHBSARERH5jN0hkJnnLABHpEb6OJq2GZQYhjidBha7A7sbnmISEfk7FoBERETkMydKqlFtsiFYJffL9f9aIkkSRjc8BTxUaEStmU8Bicj/sQAkIiIin9md63z6NzQ5Agp54P1ZkhShRTedGnaHwL58va/DISI6r8D7TUtERESdxu4cZ9fJEamBM/7vbJIk4dKGrqsHCgyw2bk4PBH5NxaARERE7SwzMxPp6enQarWYOHEiSktLz9tm69atGDx4MHQ6HW655RZUVVV1QKQdb3fDBDAjUgJr/N/Z0qKDodMoYLE5cLK0xtfhEBG1iAUgERFRO3I4HJg2bRomTZqErKwsaLVazJ8/v8U21dXVmDJlCh5++GEcPnwYJpMJjz76aAdF3HGKDPUo0NdDLpOQnhzu63AumCRJGJgQBsA5FpCIyJ+xACQiImpHW7duRWVlJZ555hkkJSVh4cKFWLt2LWpra5ttc+zYMdTX12PWrFno3r07brvtNvz8888dGHXHcD396x8fihC1wsfRXJz+8aGQABTo61FVZ/F1OEREzWIBSERE1I62b9+OkSNHQqFwFjjp6emw2+3IzMxstk1aWhoUCgW2bt0Ku92OzZs3Iz09vYMi7jju8X8B3P3TJVSjREpUEADgaBGfAhKR/wrsj9uIiIj8XHFxMaKjo92vZTIZIiIiUFJS0mybqKgovPPOO7jqqqugVCqRmJiIXbt2NXu82WyG2Wx2vzYa/bMAWbb5hMfr/x4sBgCUGE2N3gtE/eJ0yKmoQ1ZpDUalRUGSJF+HRETUCJ8AEhERtTMhRKPXLRUHRUVF+MMf/oCVK1di9+7duPTSS1scN7h48WKEhYW5t+7du3st9vZitTtQXussWuPDND6OxjtSo4Mgl0nQ11lRUctuoETkn/yyACwqKsK4ceOwb9++Vh0fFxcHSZLc24gRI9o3QCIiolaKj49HWVmZ+7Xdboder0dcXFyzbdasWYO+ffti9uzZGDRoEP72t79h9erVMBgMTR6/YMECGAwG95afn+/1n8PbymvMEALQKuUBP/7PRa2QIyXS2Q2Us4ESkb/yuwJwzpw5SEhIwA8//NDqNnq9HkePHkVVVRWqqqrw/ffft1+AREREbZCRkYFdu3bBZrMBAPbu3QuFQoGhQ4c220Yul8Nut7tf22w2CCHc4wjPpVarodPpPDZ/V2p0Pv2L1ak7VVfJXrEhAIAsFoBE5Kf8rgB8/vnnkZ2d3erjXeMe0tLSEB4ejvDwcISEhLRjhERERK03duxYxMTEYOHChThz5gwWLVqEqVOnIigoCEajEVartVGbq666Cjt37sRHH32EvLw8LFy4EKNHj0ZwcLAPfoL2UVJtAgB0C+0c3T9d0qKDIZOAyloL9JwNlIj8kN8VgNHR0UhNTW318Xq9HhqNBrfddhu0Wi2uuOIKFBQUtF+AREREbSCTyfDJJ59g3bp16NWrF0wmE5YuXQoAGDx4MNavX9+ozcCBA7Fy5Uo89dRTGDBgAMrKyvDee+91dOjtqrT61yeAnYlaKUd8mBYAkFtR5+NoiIga87sCsK30ej1MJhMmTJiAI0eOQCaT4ZFHHmn2eLPZDKPR6LERERG1p2HDhmH//v0wmUz45ptvEBMTAwDIycnBlClTmmwzc+ZMZGVloaamBps3b0ZaWloHRty+bHYHKhsmSYkN7VwFIOCcDAYAciqaX+uRiMhXAr4ATEtLQ2FhIebOnYsePXrg/vvvx5YtW5o9PhBnSiMiIupMyjrhBDBnS41ydtU9U1UPm93h42iIiDwFfAGoVCoRHx/vfh0REdHiU71AnCmNiIioM+msE8C4RAWrEKJWwOYQKNDX+zocIiIPAV8Avv766xg/frz7dV5eXotjCANxpjQiIqLOxDX+r7NNAOMiSRJSopzdQDkOkIj8TcAUgM3NlHbllVfip59+wrp163D8+HH84x//wOzZsy/6ela7A1uOl+J/x0qwJ7cKp8pqUGu2XfR5iYiIurrShhlAO9sEMGfrHuEsAM/wCSAR+ZmA6Xg/ePBgvPLKK40Gyw8cOBArVqzAvHnzUF9fjxkzZmD+/PkXfb39Z/Q4cMZzwV21QoZZo1KhVckv+vxERERdkc3uQEUnngDGJSnCORNoWbUZhnorwrRKH0dEROTktwWgEMLjdU5OTrPHzp492ytP/VwcDoH9+c7ir3dsCCQJyK+sR73VjoMFBozsEem1axEREXUl5TWWTj0BjEuwWoHwICX0dVbsyq7EbwZ083VIREQAAqgLaEc6VVaDGrMNWqUcEwd0w3WXxOOKPtEAgH35es7oRUREdIFKzur+2RkngDlbUrjzKeAv2RU+joSI6FcsAJuwN18PABiUGAaF3HmLeseGIkStQL3VjmMl1T6MjoiIKHC5ZwDtxN0/XRIbuoHuOF3p40iIiH7FAvAcJUYTigwmyCRgcFKYe79cJmFo93AAwN5cfaMuqkRERHR+7glgOukMoGdLCndOBHO40ACjqfFEdkREvsAC8Bz7Gp7+9ekWiuBzxiYMTNRBJZehss6CHE7rTERE1CY2hwOVrglgOvEMoC4hGgXCtEo4BLA7h08Bicg/sAA8S63ZhhMN3TvTG572nU2tkOOSROe6gZl5VR0ZGhERUcCrqrXCIZyzaod24glgzuaaDfQXdgMlIj/BAvAshwoNcAggPkyDbrqmu6akdw+HTALOVNW7u7EQERHR+VXUOsf/RQWrOv0EMC6uiWB2nOZEMETkH1gAnuVMpXOx1v7xumaPCdUokRYTAgA4VVrbIXERERF1BhU1zu6fUSGdv/uni2simEOFRlRzHCAR+QEWgA0cQrinpo4Pa3lgeo+oYABAbiULQCIiotZyLQAfFaLycSQdJ1SjRHJkEOwOgd25HD5CRL7HArBBVZ0FVruAUi4hMrjlxJQc6ZzVq8Rohslq74jwiIiIAl55jbMLaHRw13kCCACXp0UCYDdQIvIPLAAbuJ7+dQvVQHaecQkhGgWiGorE/ErOBkpERHQ+1SYrqk02AF3rCSAAXNYjCgCwK5sTwRCR77EAbOBamLbbebp/urieAuayACQiIjqvrNIaAECwWg6NUu7jaDrWpanOJ4AHCwzsOUREPscCsEGp0fkEMK6Z2T/PlRLVUABW1HFReCIiovM4XuxcZimqi3X/BIDukVp006lhtQv3esNERL7CArBBZa1zZq7WFoAJ4VrIZRJqzDZU1XFWLyIiopa4CsDoLtb9EwAkSXI/BWQ3UCLyNRaADQSAELUCIZrWLUyrlMuQEO4sFvPYDZSIiKhFJ0q67hNA4NduoDtzWAASkW+xADxLN13bklJKZMNyEBVcDoKIiKgl7i6gXfAJIPBrAZiZWwWb3eHjaIioK/N6AXjixAlvn7LDxLVyAhgX10QwZ6rqYXPwlzkRUWcVyLnNH5TXmN1rAJ5vqaXOqm9cKEI1CtRa7DjWUAwTEfmC1wvAIUOGYOjQofjb3/6G7Oxsb5++XbV2/J9LdIgKQSo5bA6BYoOpnaIiIiJfC+Tc5g9cT//CtEoo5V2z85FcJmF4SgQAYCfHARKRD3n9t3B5eTmeeOIJHDp0CMOHD8fIkSOxdOlS5Ofne/tSXiUBiA1tWwEoSdKvy0FUcBwgEVFnFai5zV905QlgzuaeCIbjAInIh7xeAAYHB+Pmm2/G6tWrUVpainvuuQfPPfccUlNTkZGRgZ9++snbl/SKiGAlVIq2347uDQVggb7e2yEREZGfCNTc5i+6+gQwLr8WgFVcQoqIfKZ1U162UVZWFj777DN8/vnnOHz4MK677jrceuutqKurw80334zCwsL2uOxFiW1j90+XhIZxg6VGM2x2BxRdtGsLEVFnF4i5zV8c6+ITwLgMTgqDSi5DeY0ZORV16BEd7OuQiKgL8noBOGjQIJw6dQrXXHMN5s+fj5tuugnBwQ2zZebmIiYmxtuX9IpuoRf2qWSYVokglRx1FjtKq81ICNd6OTIiIvK1QM1t/sDhEMgqcXUB7dpPADVKOYZ0D8OunCrsyq5kAUhEPuH1AvCxxx7D5MmTERoa2ui9lJQU7N+/39uX9Iq2jv9zkSQJ8WEanCqrRaGhngUgEVEnFKi5zR8UGupRa7FDKZcQplX6OhyfG5Ea6SwAcypxy6XdfR0OEXVBXu+vOHPmzEYJUggBu93u7Ut51cVMS50Q5iz6ivScCZSIqDMK1NzmD7LLnWvlpkQFQy6TfByN743kRDBE5GNeLwDnzp0Ls9nsse+7775D3759vX0pr5JJF56U4sOdTw+LDCYO6iYi6oQCNbf5g9NlzgKQ3R2dhqVEQJKAnIo6lFbzg2Mi6nheLwDfeOONRkly4MCBKCgo8Pal/EZsqAZymYR6qx36equvwyEiIi/rirnNW1xPANNiWAACzrkD+nZzPk3elV3l42iIqCvy2hjA//znPwCcXWI++OADBAUFuV9/9913GDZsmLcu5XfkMgndQtUoNJhQqK9HRFDXnuWMiKiz6Mq5zVtOldUAANKig1HIoRIAgJE9InGsuBq7cipxw+B4X4dDRF2M1wrAVatWAXBOivL+++9DoXCeWiaToWfPnvjwww+9dSm/FB+uRaHBhCKDCQMTwnwdDhEReUFXz23e8OsTwBAWgA0uTY3Ef37O5ThAIvIJrxWAW7ZsAeBMiuvXr4dOp/PWqQNCQpgGewAUckF4IqJOo6vntotlstpR0JAXe0QHY1tWuY8j8g+uBeGPFhlRbbIiVMPZUYmo43h9DOCcOXOgVne9dX7iG5Z/qKqzot7KWeGIiDqTrprbLlZuRR2EAHQaBaIuYrbtziYuTIPukVo4BLA7h+MAiahjeb0AXL58eZdMklqlHBFBzk/wigx8CkhE1JlcbG7LzMxEeno6tFotJk6ciNLS0vO2MRqNmDZtGoKDg3HZZZfh5MmTF3x9XzndMP6vR0wIpIuYbbszGp0WDQDYfpJPRYmoY3m9AOzK4rkeIBERncPhcGDatGmYNGkSsrKyoNVqMX/+/PO2e/TRRxEaGorDhw9jyJAhmDt3bgdE612nG8b/9eQSEI2M7e0sALexACSiDua1MYAEJIRrcKTIiEI+ASQiogZbt25FZWUlnnnmGSgUCixcuBBjx45FbW0tgoObLozq6+vxySefICsrC1FRUXjuueewa9euDo784nENQKdlm0802ldnsQEAjhVX46/rjiBYrcD8q/t0dGhE1AV55QmgXC6H0Wh0nlAmg1wu99hc+zq7hIYngCVGM+wOLghPRBTIvJXbtm/fjpEjR7pnEE1PT4fdbkdmZmazbfbv34/Q0FD8/e9/R0hICG677TaMHDnSOz9YB8oub1gCIibEx5H4nyCVAjGhzm7F+VV1Po6GiLoSrzwBPH36tHtmtOzsbG+cMiCFBymhUcpgsjpQWs1uoEREgcxbua24uBjR0dHu1zKZDBERESgpKWm2TVFREcrKylBbW4uDBw/i97//PRYsWIC33367yePNZrPHQvWuwtXXXF1Au/oTwOYkRwShrNqMvMo69IvjDLNE1DG8UgCmpKQ0+X1XI0kS4sO0yC6vRZGBBSARUSDzZm4TQjR63dKkKLW1tbBYLPjb3/4GrVaLe+65Bw8//HCzxy9evBjPPvvsRcXobVW1FujrrABYADane6QWe/KqkF9Z3+jfCBFRe+EkMF6WEKYBwPUAiYjIKT4+HmVlZe7Xdrsder0ecXFxzbYJCwuDRqOBVuscWhAVFYWKiopmj1+wYAEMBoN7y8/P994PcIFON3T/TAjTQKvq/MNALkRiuBZymYQasw1VDcUyEVF7YwHoZa71AIsMJn6aR0REyMjIwK5du2CzOSf92Lt3LxQKBYYOHdpsm/79+6O2thaFhYUAgJKSkhYLRrVaDZ1O57H5mmsCGI7/a55CLnN/cJxfyXGARNQxvF4A7ty50z1QfdOmTYiIiEB4eDi++OILb1/KL3ULVUMuSaiz2JHHX+ZERJ3CxeS2sWPHIiYmBgsXLsSZM2ewaNEiTJ06FUFBQTAajbBaGz/56dWrF4YPH44FCxbg9OnTWLFiBW688UZv/1jtiuP/Wqd7ZBAA8G8GIuowXi8A58yZ405STzzxBBYvXozFixfj0Ucf9fal/JJCLkOszjmr1+6cKh9HQ0RE3nAxuU0mk+GTTz7BunXr0KtXL5hMJixduhQAMHjwYKxfv77Jdh988AGOHj2KwYMHIyIiAosWLfLeD9QBXIvAp8WwAGxJckMBeKaqHja7w8fREFFX4PV1AE+cOIF77rkHBoMBJ0+exJw5c1BYWIhHHnnE25fyW/FhGhQZTNiTV4Vpw5N8HQ4REV2ki81tw4YNw/79+xvtz8nJabZNnz59sHPnzgsN2eeyy9kFtDViQtXQKGQw2RzYf0aP4SmRvg6JiDo5rxeAAwcOxJIlS2CxWDB27FjYbDZ88MEH6Nevn7cv5bfiw7QA9NjDJ4BERJ0Cc1vLzl3o3CEETjWMAdxyrBSZucyHzZFJEpIjg3CitAb/O1rKApCI2p3Xu4C++eab+Pnnn3H48GG8/PLL+Omnn7Bs2TIsW7bM25fyW/ENA7pPlFbDUM9ZvYiIAh1zW9tUm2ywOwTkMgmhGq9/1tzpuJ6SfnOk+bUhiYi8xeu/ldPT0/HTTz+5X/ft29c9i1lXEaxWIEyrhKHeisy8KlzVN9bXIRER0UVgbmubqjoLACBcq4SshfUOySk1KggyCThZWoPs8lpOnENE7apdPpazWCwoKSlptAxCcnJye1zOLyWEaWCot2JPDgtAIqLOgLmt9VwLwIcHKX0cSWBQK+VIighCXmUdNh8pxr1X9PR1SETUiXm9C+jrr78OnU6HlJQUpKamurcePXp4+1J+zbUe4B6OeyAiCnjMbW1TVet8AhgRpPJxJIEjreGp3zeH2Q2UiNqX1wvAp59+Gn//+99hNpvhcDjcm91u9/al/JprYdd9+XpYOa0zEVFAY25rm6p6FoBt5VouY09eFcprzD6Ohog6M68XgKGhoRg/fjyUyq7d7SMyWAWdRoF6qx1Hi4y+DoeIiC4Cc1vbVNWyC2hbhWqUuCRRByGA746W+jocIurEvF4A/vOf/8S9996LI0eOePvUAUWSJAxLiQDABeGJiAIdc1vrWe0O1JhtAICIYD4BbIuJA+IAAN8cKfZxJETUmXm9AHzggQewf/9+DBo0CNHR0UhLS3NvrVVUVIRx48Zh3759rTp+06ZN6NOnD4KDgzF9+nTU1dVdYPTeNaKhAOQ4QCKiwOaN3NZVuCaA0Shk0CrlPo4msFw9oBsA4MesctRZbD6Ohog6K6/PAvrOO+9cVPs5c+bgzTffbPXxer0et9xyC1588UVce+21mD59Op5//nk8//zzFxWHN7gWc92dWwkhBCROhU1EFJAuNrd1JfqGJSD49K/t+sWFIilCizNV9fjhRDmuvSTO1yERUSfk9QJw3LhxHq9tNhsUitZf5vnnn8eCBQtaPbPa2rVrkZSUhPvuuw8A8Oc//xnz58/3iwIwvXs4FDIJJUYzCvT1SIoI8nVIRER0AS42t3UlVVwC4oJJkoRrB8bhrW3ZWH+wiAUgEbULr3cBPX36NCZMmIDg4GDk5eXhgQceQEZGBvLy8lrVPjo6Gqmpqa2+3vbt2zF69Gj368suuwx5eXnIz89va+hep1XJMTBBB4DdQImIAtnF5rauxLUIPGcAbbtlm0+gumH85IaDRXhp4zEs23yi0UZEdDG8XgDefffduPTSS90zpS1atAgDBw7E73//e29fCgBQXFyM6Oho9+uoqCgAQElJ0+vomM1mGI1Gj609cSIYIqLA19G5LZC5CkA+Abww3ULVCNMqYXMIZJfX+jocIuqEvF4AZmZmYu7cue7xbtHR0XjqqaewY8cOb1/KTQjR6PvmxtstXrwYYWFh7q179+7tFhcAjHCPA2QBSEQUqHyR2wKREMI9CQyfAF4YSZLQp1sIAOBESbWPoyGizsjrBWD//v1x8OBBSJLkTpTvvvsu+vfv7+1LAQDi4+NRVlbmfl1RUQEAiItrut/8ggULYDAY3Ft7dxUdkep8Ani82Ihqk7Vdr0VERO2jo3NboKq32mG2OQAA4Vo+AbxQfbqFAgByyutgttl9HA0RdTZeH8H+2muv4eabb0Z1dTVmzpyJM2fOwGg04r///a+3LwUAyMjIwOLFi92vd+zYgdTUVCQmJjZ5vFqthlqtbpdYmtJNp3HP6LUvX4+M3jEddm0iIvKOjs5tgco1AYxOo4BC7vXPmLuMqGAVIoNVqKy14FRZLQbE63wdEhF1Il4tAPV6Paqrq/HSSy/BZrOhoKAAcXFxuPHGGxEeHn5R5zYajdBqte7xFy6TJ0/GAw88gOXLl+O6667DkiVLMHPmzIu6lrcNT4nAmap67M6pYgFIRBRg2jO3dTa/jv9j98+L4eoGuuN0JU6UVLMAJCKv8koBaLVaMW/ePLz77rsAnGMjJElCeXk5ZDIZDh48iJdeeumirjF48GC88sormDJlisf+sLAwrFmzBvPmzcPDDz+Mm266CQsWLLioa3nbiJQIfLmvkDOBEhEFkI7IbZ2NvtY1/o/dPy9Wn26h2HG6EvmVdai32KFVyX0dEhF1El4pAJ988kn897//xbp16zB+/HjI5c5fUg6HA99//z3uuusuREVF4bHHHmv1Oc+e2AUAcnJymj124sSJyMrKuqDYO4JrQfi9eVWw2R3sFkNEFADaI7d1dlwCwnsiglSICVWjrNqMk6U1GJQU5uuQiKiT8Eol8tFHH2H58uW4+uqr3QkSAGQyGcaPH4/XX38d//73v71xqYDUNy4UIWoFai12HOeMXkREAYG5re24BIR39W2YDOZYcfsuWUVEXYtXCsDCwkKMGjWq2fdHjhyJ3Nxcb1wqIMllEoYmhwPggvBERIGCua1tHA4BQz2XgPAmVwFYaDC57y0R0cXyShdQu92OCRMmeHxCejabzQaHw+GNSwWsS1Mj8WNWOX4+VYE7R6X6OhwiIjoP5ra2MZqscAhAIZMQqvH6JONdUohGge4RWuRX1eN4cTVG9oj0dUhE1Al45Tf0qlWrvHGaTm1s72gs3XwC20+Ww+4QkMuaXqieiIj8A3Nb27iWgAgPUrrXSqSL1y9eh/yqehwrNuLS1AjeWyK6aF4pAGfNmuWN03RqgxPDoNMoYDTZcOCMHkOTI3wdEhERtYC5rW24BET76BkTjC0yCVV1VpRWm9FNp/F1SEQU4DgdZQdRyGUY3TMaAPBjVrmPoyEiIvIufR2XgGgPaoUcaTHBAIBjRZxIjoguHgvADpTRx1kAbmMBSEREnQyXgGg//eKcC8EfL6mG3SHOczQRUctYAHagK3rHAAAy86pQbeJsXkRE1Hn8+gSQBaC3JUcGQauUo95qR35lna/DIaIAxwKwA3WPDEJqVBBsDoEdpyt9HQ4REZFXWGwO1JhtALgGYHuQyyT3khBHuSYgEV0kFoAdbGxvVzfQMh9HQkRE5B36emf3T61SDo2y6WUz6OL0jXcWgKfLat3FNhHRhWAB2MEyGrqBciIYIiLqLKpqf10CgtpHt1A1IoKUsDkENh4q9nU4RBTAWAB2sFE9oyCXSThdXoszVezHT0REgU/PCWDanSRJ7slgvthb4ONoiCiQsQDsYDqNEundwwFwNlAiIuocqrgERIfoG+fsBrr9VDmKDPU+joaIAhULQB/IaBgH+APHARIRUSfgXgIimE8A21OYVonEcC2EAD7dfcbX4RBRgGIB6ANX9GkYB3iiHBabw8fREBERXTghhHsJiHAtnwC2t0sSnN1AP96dDwfXBCSiC8AC0AfSk8IRE6pGtdmGn06xGygREQWushozLHYHJABh7ALa7nrFhiBUo8CZqnr8dKrC1+EQUQBiAegDMpmEawZ2AwBsOsyZvIiIOrvMzEykp6dDq9Vi4sSJKC0tbXXb//znP5AkCTk5Oe0X4EU4XVYLANBplVDI+GdFe1PIZfjt0EQAwEe78nwcDREFIv6m9pHrLokHAHxzuAR2duEgIuq0HA4Hpk2bhkmTJiErKwtarRbz589vVVu9Xo9HH320nSO8OK4CkEtAdJxbL+0OwPk3RGWtxcfREFGgYQHoIyN7RCI8SImKWgt25VT6OhwiImonW7duRWVlJZ555hkkJSVh4cKFWLt2LWpra8/b9i9/+QtGjx7dAVFeuOzyGgBcAqIjDUwIw6DEMFjsDqzlkhBE1EYsAH1EKZfhN/2d3UC5oCsRUee1fft2jBw5EgqFAgCQnp4Ou92OzMzMFtvt2bMHn3zyCV566aWOCPOCuZ4AcgmIjuV6CvjxrjwIwZ5ERNR6LAB96NqBcQCc4wD5y5uIqHMqLi5GdHS0+7VMJkNERARKSkqabeNwOHD//ffjr3/9K2JiYs57DbPZDKPR6LF1lOxyVxdQPgHsSDelJ0CjlOFESQ1251b5OhwiCiAsAH1obO9oBKvkKDKYcOCMwdfhEBFROzn3Qz4hBCRJavb4N954A5Ik4Z577mnV+RcvXoywsDD31r1794uKt7WsdgfyKusA8AlgR9NplJiS7pwM5p3tOb4NhogCCgtAH9Io5biqXywAYAO7gRIRdUrx8fEoKytzv7bb7dDr9YiLi2u2zZo1a3DgwAFERkYiJSUFADB48GBs27atyeMXLFgAg8Hg3vLz8737QzQjv7IONoeAQiYhRK3okGvSr2aPSQUAbDxcjEJ9vW+DIaKAwQLQx669xPkHwMZDRewGSkTUCWVkZGDXrl2w2WwAgL1790KhUGDo0KHNtvnwww9x9OhR7Nu3Dz/++CMA4L///S9GjBjR5PFqtRo6nc5j6wi/jv9TtfhEk9pHvzgdRqVFwe4QePfnHF+HQ0QBggWgj13ZNxYqhQw5FXU4XNhxYzaIiKhjjB07FjExMVi4cCHOnDmDRYsWYerUqQgKCoLRaITVam3UJi4uDqmpqUhNTUVycjIAICkpCRqNpqPDb9GpsoYZQIPZ/dNXfje2BwDggx15MJoa/1siIjoXC0AfC1ErMHGAczbQNbs7pssOERF1HJlMhk8++QTr1q1Dr169YDKZsHTpUgDObp3r16/3cYQXzl0AcgIYn5nQLxa9Y0NQbbZh9Y5cX4dDRAGABaAfuGWEc7D+F3sLYLLafRwNERF527Bhw7B//36YTCZ888037pk9c3JyMGXKlBbbhoeHQwiB1NTU9g+0jU41dAGNDGYB6CsymYT7xvUEAKzcls2/I4jovFgA+oExvaKRGK6F0WTDpsOcDIaIiPyfEAInS/kE0B/clJ6AxHAtymsseP+XPF+HQ0R+jgWgH5DLJEwbngQA+GT3GR9HQ0REdH6VtRYY6q2QJCCcS0D4lFIuwwMTegEA/rXlJGrMNh9HRET+jAWgn/i/hgJw28ly5DesqUREROSvXN0/E8O1UMr554SvTRuWhB7RwaiotWDltmxfh0NEfoy/sf1E98ggjOkVBQD4dA+fAhIRkX9zTQDTKzbEx5EQACjkMsy/ug8AYMXWUyg2mHwcERH5K67a2o6WbT7RpuND1c4uNCu3Z8MhBGTNrKnk+gVPRETkK6caxv/1jGEB2NGa+/tCCIE4nQbFRhNmrdyJTfOv6ODIiCgQ8AmgH+kZEwy1QoZqk43dQImIyK+dLGMB6G8kScKVfZ0zzB4vqcbO7EofR0RE/ogFoB9RyGXoFxcKANibr/dtMERERC045S4Ag30cCZ2tm06DSxJ0AICFXx2G3SF8HBER+RsWgH4mvXs4JAC5FXUoqzb7OhwiIqJGTFY7zlTVAwB6cgyg3xndMxpqhQxHi4z44BcuDk9EnlgA+pnwIJV7QH1mXpWPoyEiImosu7wWQgBhWiWiuAi839Gq5BiV5pxYbsmm4/xAmYg8sAD0Q8NSIgAAJ0qqYTRZfRwNERGRp7O7f0rNTFhGvjUoMQyXJOpgNNnw/Pojvg6HiPwIC0A/FKfTIClCC4cA9uXpfR0OERGRh1OlzjUAOQGM/5LJJLzw20GQScAX+wrxY1aZr0MiIj/BAtBPDU92PgU8VGiAyWr3cTRERES/4hqAgWFwUjjuHJUKAHjqi0P8e4KIALAA9FspUUGIClbBahc4UGDwdThERERuJ7kGYMB4eGIfdNOpkVNRh9e3nPR1OETkB1gA+ilJkjC8YSxgZm4VP7UjIiK/4HAInC5vKAD5BNDvhWqUeObGgQCAFVtP4WRptY8jIiJfYwHox/p2C0VksApmmwO7czkjKBER+V6hoR4mqwNKuYTuEVpfh0OtcO0lcZjQLxZWu8Bf1h6CEFwbkKgrYwHox2QyCWN6Oqdx3pevRzVnBCUiIh87VeacACY1KhgKOf+MCASSJOHZyQOhVcqxM7sSn+w54+uQiMiHFL4OgFrWIzoYCeEaFOpN2HG6ElcP6ObrkIiIqAvLKnF2IeT4P/+3bPMJj9fDUyKw7WQ5nv7yEE6W1ECrkgMA5l/dxxfhEZGP8KM7PydJEsb2igYAHC0yoryGi7kSEZHvHC92FoB940J9HAm1VXr3cESHqGCyOvDjSS4LQdRVsQAMAPFhWvSKCYEAsP1kua/DISKiLuxECQvAQCWXSRjfLxYAcLSoGoX6eh9HRES+wAIwQIzuFQWZBORU1OGbw8W+DoeIiLogh0PgRIlzBlAWgIEpPkyLgQk6AMDWE2WcEIaoC2IBGCAiglQY1rA4/NNfHuaEMERE1OHyKutQb7VDpZAhNSrY1+HQBRqVFgWVXIbSajOOFBl9HQ4RdTC/KwAzMzORnp4OrVaLiRMnorS09Lxt4uLiIEmSexsxYkQHRNrxLusRiTCtEsVGE/7+zYnzNyAiIvKiYw3j/3rHhkAuk3wcDV2oYLUCl/WIBABsP1nBD5WJuhi/KgAdDgemTZuGSZMmISsrC1qtFvPnzz9vO71ej6NHj6KqqgpVVVX4/vvv2z9YH1DIZe6+++/+nIO9eVwbkIiIOg7H/3UeQ7qHIyJIiXqrHf/87qSvwyGiDuRXBeDWrVtRWVmJZ555BklJSVi4cCHWrl2L2traZtuYzWaYzWakpaUhPDwc4eHhCAnpvFNTJ0cGYdqwJAgBLPj8IKx2h69DIiKiLsI1A2g/FoABTy6TcEXvGADAqu3ZOF1W4+OIiKij+FUBuH37dowcORIKhXN5wvT0dNjtdmRmZjbbRq/XQ6PR4LbbboNWq8UVV1yBgoKCjgrZJ564oT8ig1U4VlzdaI0fIiKi9nKs2DlerE83FoCdQWp0MFKjgmC1C/x1/VFfh0NEHcSvCsDi4mJER0e7X8tkMkRERKCkpKTZNnq9HiaTCRMmTMCRI0cgk8nwyCOPNHu82WyG0Wj02AJNZLAKz0+5BACwfOspLg1BRETtzmS1I6eiDgDQL07n42jIW67oEwOFTMJ3x0qx5fj5510gosDnVwUggEbTEQshIEnNDzRPS0tDYWEh5s6dix49euD+++/Hli1bmj1+8eLFCAsLc2/du3f3Wuwd6bpB8bhtZDKEAOZ/vA8VXCCeiIja0amyGtgdAmFaJbrp1L4Oh7wkIkiFu8akAgCeW3cEFhuHlhB1dn5VAMbHx6OsrMz92m63Q6/XIy4urtk2SqUS8fHx7tcREREtPtVbsGABDAaDe8vPz/dO8D7w9KQB6BUbgtJqMx799ADX8iEionbjGv/XNy60xQ9mKfD8cUJvRIeocLqsFv/5OcfX4RBRO/OrAjAjIwO7du2CzWYDAOzduxcKhQJDhw5tts3rr7+O8ePHu1/n5eUhNTW12ePVajV0Op3HFqi0Kjn+edtQqBQyfHesFG/9mO3rkIiIqJNyF4Ac/9fp6DRKPHpNXwDAP77NQjl7FRF1an5VAI4dOxYxMTFYuHAhzpw5g0WLFmHq1KkICgqC0WiE1dp4nZorr7wSP/30E9atW4fjx4/jH//4B2bPnt3xwftI/3gdnrqhPwBg8Yaj+J7994mIqB0c5xIQndr/De+OQYlhqDbb8PKm474Oh4jakV8VgDKZDJ988gnWrVuHXr16wWQyYenSpQCAwYMHY/369Y3aDBw4ECtWrMC8efOQkZGB3/zmN61aO7AzmXl5Cm4d0R0OAfzxg704WVrt65CIiKiT4RIQnZtMJmHhjQMAAB/vzsehAoOPIyKi9qLwdQDnGjZsGPbv399of05OTrNtZs+e3aWe+p1LkiQ8N+USZJfXYmdOJe5+dze+mDsGEcEqX4dGREQBzLXUkMlqR5HBBAD49kgJfszi7NOd0YjUSExOT8CX+wrxxBeH8Nl9o6CQ+9WzAiLyAv5f3UmoFDIsnzkMSRFa5FbU4b7Ve2Cy2n0dFhERdQIVNRYAQIhaAbVS7uNoqD0tuK4/QjUK7M/X49+cW4CoU2IB2IlEhajx1qwRCFEr8Et2Jf7wwV5Y7ZzOmYiILk55rXNSkOgQ9izp7OLCNFh440AAzifAJ0o4rISos2EB2Mn0i9PhrVkjoFbI8O3REjz6yX44HFwegojIlzIzM5Geng6tVouJEyeitPT8E3bt2bMHw4YNg06nw+TJk1FZWdkBkTatvNpVAHL9v85o2eYTHlteRS16RAfDYndg5lu/4OVNx93vEVHgYwHYCV2eFoXlM4dBIZPwxb5CPP3VIa4RSETkIw6HA9OmTcOkSZOQlZUFrVZ73snKHA4Hbr/9dkycOBEHDhxAaWkpnn766Q6KuLHShgIwNpQFYFcgSRLG94uFWiFDabUZu3N99+EDEXkfC8BOany/bvj7LUMgScDqHXn4y9pDsPNJIBFRh9u6dSsqKyvxzDPPICkpCQsXLsTatWtRW1vbbJvTp0/jxIkTeOqpp5Camoo77rgDP/74YwdG/Su7Q7jHAMbqND6JgTpeiFqBK/vEAAB+OV2J3Irm/70SUWBhAdiJTU5PxIvTBkOSgA935uGhNfs4JpCIqINt374dI0eOhELhnHg7PT0ddrsdmZmZzbYJCgrCK6+8guDgYABARUUFtFpth8R7ropaM+xCQK2QQafxu8nDqR31jQvFgHgdBICNh4phrG+8HjMRBR7+Jg9Abe2Df+3AOGw6XIwv9xXi4BkDrrskrslpnedf3cdbIRIRUYPi4mJER0e7X8tkMkRERKCkpKTZNgkJCfjTn/4EADAYDHjrrbfw5z//udnjzWYzzGaz+7XRaPRC5E6u7p8xoWpIkuS185L/kyQJV/WNQXmNGaXVZqw7UIQ/X9sPWhVngiUKZHwC2AX06RaKSYMTIJdJOF1ei8/3FqDOYvN1WEREXca547CFEK0qpmpra3HjjTdi6NChuP/++5s9bvHixQgLC3Nv3bt3v+iYXcqMHP/XlSnkMkwaHA+tUo6yGjMe++wAJ5cjCnAsALuIHtHBmJKeALVChiKDCR/vykdFjfn8DYmI6KLEx8ejrKzM/dput0Ov1yMuLq7FdnV1dbjmmmsQFBSEjz76CDJZ8yl7wYIFMBgM7i0/P99r8f86AQzH/3VVoRolrh8UB0kCvtpfiBf+e5STyxEFMBaAXUhSRBBuHdEdYVoljCYb1uw+g+xyDuomImpPGRkZ2LVrF2w2Z8+LvXv3QqFQYOjQoS22mzt3LoKDg/Hll19Co2m5+FKr1dDpdB6bNzgcAuU1fAJIzr8hru7fDQDw1rZsvPHDaR9HREQXimMAu5iIYBVuvbQ71h8oQoG+Hl/tL8SlqRG4vEeUr0MjIuqUxo4di5iYGCxcuBD3338/Fi1ahKlTpyIoKAhGoxFarRZKpdKjzf79+/HFF19g165dqK+vR319PQAgPDy8Q2MvrzXD5hBQyWUID1KevwF1av3jdai32vFjVjn+tuEYdudUYmBCWJPHcl4BIv/FJ4BdkFYpx2+HJmJwovOX9q6cKqzdW4BSo8nHkRERdT4ymQyffPIJ1q1bh169esFkMmHp0qUAgMGDB2P9+vWN2nzxxRcwGAzo06cPIiIi3FtHKzY480K3ME4AQ07DkiMwPMX5b/F/R0txuqzGxxERUVuxAOyi5DIJV/WLxbUD46CUSzijr8f1r/6Ib480PysdERFdmGHDhmH//v0wmUz45ptvEBPjXF8tJycHU6ZMaXT8woULIYRotHW04oYPBuN1vlmCgvzTmJ5R7uUh/nuoGAVV9b4OiYjagAVgF9c3LhS3XZqMqBAVymss+P1/duOxTw+gxsxZQomIuroSg3P8X7cwjv+jX0mShAn9YpEWHQy7Q+DrA4WcWI4ogLAAJEQEqzB9RHfck9EDkgR8vDsf177yA344UXb+xkRE1CkZ6q2orLMAAOJ0nAGUPMlkEq67JA7xYRqYbQ58sa8Q1SYuFE8UCFgAEgDnOj9P3DAAH95zORLDtThTVY87V+7EHz/ci9Jqjg0kIupqDpzRAwDCtEoEqThnHDWmkMtw05AERAQpUWO24ct9hTBZ7b4Oi4jOgwUgebg8LQobH8zAXWNSIZOAr/cXYsLft+K9n3Ng58KvRERdxr48PQCgm47dP6l5GqUcU9ITEayWo6LWgv8eKuJC8UR+jgUgNRKqUWLhjQPx5byxGJwUhmqTDU99eRhTl/+Ew4UGX4dHREQdYFduFQAgIYwTwFDLdFolJg9JhFIuIb+yHj9mlfs6JCJqAQtAatagpDCsnTsGz940ECFqBfbn63HjP7fh2a8PQ98wLoSIiDofm92BPTmVAICEcBaAdH4xoWpMHBAHANh3Ro+Pdub5OCIiag479ZPbss0nmn3v1ku744cTZcgqrcGq7Tn44Jc8jOwRicFJYVDIWv4cgYvBEhEFliNFRtRa7FArZIgOUfk6HAoQvWJDcHlaJHacrsRTXx5CWkwIRvaI9HVYRHQOPgGkVglRK3D9oHhMSU9AVIgKZpsDP2aVY/WOPGSVVPtkfSoiImofO7N/ffrHBeCpLUamRqJ3bAisdoG57+9BoZ5rBBL5GxaA1CYpUcG4fWQyJvSPRZBKDkO9Ff89VIxP9pxBkYG/5ImIOoMdp50FYCK7f1IbSZKEqwd0w4B4HcprLJjz3h7ODErkZ1gAUpvJJAmXJIRh1qhUXNYjEgqZhCKDCWt2n8G6A4Uoq+ZisEREgcrhENiVwwKQLpxSLsMbdwxHRJASBwsMWPD5QfYUIvIjLADpgqkUMlyeFoVZo1IxIF4HADhVVosPduZh/cEilNewECQiCjRHioww1FsRpJIjJpRLQNCF6R4ZhNdvHwa5TMLavQVYuT3H1yERUQMWgHTRQjQKXD2gG+64PAV9YkMAACdLa/D+L3n4an8h9uRW+jhCIiJqLdcU/qPSoiCXcfwfXbjRvaLxxPX9AQAv/Pcotp/k8hBE/oAFIHlNZLAK1w2Kx4zLktGroRDMLq/FtOU/4/9W/IT1B4pgtTt8HCUREbXkx6wyAMAVfWJ8HAl1BneNScW0YUmwOwTmfZCJnPJaX4dE1OWxACSviw5R44ZB8bhzVAoGJuiglEvYlVOFeR9kIuPFLXjtuyyUGE2+DpOIiM5RZ7Fhd45zAfiM3tE+joY6A0mS8PxvL8GQpDDo66y4c+VOzhVA5GMsAKndRASp8Jv+3fDjn8fjj+N7ITpEhWKjCS9/cwKjFv8Ps1ftxLoDhZwdjIjIT/xyuhIWuwNJEVr0iA72dTjUSWiUcvx71gh0j9Qir7IOs1buhL7O4uuwiLosFoDU7uLCNHh4Yl9sf3w8lt4yBJemRsAhgO+Pl+EPH+zFsOc2Y+77e/DlvgIYTVZfh0tE1GVtPeHs/pnRO4br/5FXxYZq8O5dIxEdosKRIiNmvv0LqmpZBBL5gsLXAVDXoVbIMXVYEqYOS0JOeS0+3XMGa/cWoEBfj/8eLMZ/DxZDKZcwplc0rhkYh9/078YZ6IiIOogQApuPlAAArurL8X/kfWkxIfjgnstx25s7cKjAiKnLf8I7d12KlCg+bSbqSCwAqd0t23yiyf1ymYRpwxJRWm3GqbIanCytQVWdFd8fL8P3x8uwAAcRE6pGcmQQkiODkBCmgULufGg9/+o+HfkjEBF1eocKjCjQ10OrlHMCGGo3fbqF4uM5l2PWyl3ILq/Fjf/chhenDcZ1g+J9HRpRl8ECkHxKkiR002nQTafB6J7RqKy14GRZDU6V1qC02oyyhm1PbhXkMgmJ4VokRwbhcKEB/eN0kHGKciIir9h0uBgAcGXfGGiUch9HQ4GuuQ9/Xa67JA7rDhSh2GjC/e9n4obB8Xjyhv6ID9N2UIREXRcLQPIrkcEqjAyOxMjUSNSabcivqkNepXOrNdvd39/w6jZEBaswplc0xvaKxmVpkUiODOKYFSKiC7SxoQC89pI4H0dCXUGwWoGbhyfBLgTe2HoK6w8UYfOREtw6ojvuGJWCPt1CfR0iUafFApD8VrBagX5xOvSL00EIgcpai7sALK02o6LWgq/2F+Kr/YUAgG46NUb2iMJlPSJxWY9I9IoNYUFIRNQKWSXVOFlaA6VcwlX9Yn0dDnURcpmER67ui0mD4/Hs10ewM7sS7+3IxXs7cjEkKQw3D0/C9YPiERXC+QCIvIkFIAUESZIQFaJGVIgaQ5MjMO+qXtiXr8e2rDL8fLoC+/MNKDGa8fX+QnzdUBBGBqswLDkc6d3DMaR7OAYnhiMsSOnjn4SIyP98uucMAGBcn1joNPw9SR3H1VX08h6R6B6hxd48PXIqarH/jAH7zxjw9FeHkRSuxX1X9sQ1A+MQzWKQ6KKxAKSApFLIMLJHJEb2iAQAmKx27M3T45fsCvxyuhKZeVWorLXg26Ol+PZoqbtdWnSwsxhMCsOgxDD0j9chWM3/DYio67LZHfh8bwEA4P9GJPk4GuqqJElCUkQQkiKCUGex4XhxNY4VV6O02oz8qno8sfYQnvriEC7rEYXrB8fjhkHxiAxW+TpsooDEv3wpILU0uHxkj0gMT4lAidGEEqMJxUYTSoxmGOqtOF1ei9PltVjb8McOAEQEKRETqkZsqAb3X9kTAxN0CA9iUiGiruHHrHKUVZsRGazCVX3Z/ZN8L0ilwNDkCAxNjoC+zoKTpTWoNttw4IwBP5+uwM+nK7Do68O4ZmAcbhuZjFFpUZwUjqgNWABSpySXSUgI1yIh/NfZxOotdpRUm1BicBaFZTVm1JrtqKqzoqrOihMlNdh2shwAkBShxcAEHS5JCMMliWEYmKhDbKjGVz8OEVG7+WhXHgBgSnoiVAqZj6Mh8hQepMKIVGdvn2HJEThZWoMTJc4ng+sOFGHdgSJEBCkxLDkC/eJC8ei1/XwcMZH/YwFIXYZWJUdqVDBSz1pwttZsQ1mN2b3khMXmQF5lHc5U1eNMVT02HS5xHxsTqsaQpDAMTnJ2IR2SFI4Idj8hogCWU16LbxoWf79tZHcfR0PUsjCtEsNTIjA8JQKl1SYcKjDieHE1quqs+N+xUvx0qgLBGgVmj05FkIp/4hI1h/93UJcWrFYgWK1wF4Xzr+4DQ50Vh4sMOFJoxKECAw4VGnG6rAZl1eZGYwqTI4MwOCkM6d3DMTgpHJck6ph0iChgrNyeDSGAq/rGoDen3acAEhuqwfh+GoztFY1DhQbszdOjxmzDSxuPY9X2HPxxfC9MvzSZT7WJmsC/VInOcu7YwpSoYKREBcNqd6Cs2twwrtD5VV9vdS9Lse5AEQBAgnP20agQFaJC1IgOdn59etIAjk8gIr9SWWvBmt35AIB7rkjzcTREF0alkGFYcgSGJIXjREk1jhYbkV9Zj6e/PIx//3ga83/TB5PTEyFnDiZyYwFI1ApKuazRmEKT1e4sCKvNKDGYUFJtQq3ZjopaCypqLUBJjfvYj3flo3e3EKRFB6N7ZBC6RwQhKVKL7hFBiA/TQCHnJ5RE1LH++V0WTFYHBiWGYVRalK/DIboocpmE/vE69OkWikOFBuzMrkR+ZT0eWrMfL/z3KMb2ikbKWUNAAGevH6KuiAUg0QXSKOXuJ4QuNSYbSqtN7iKwosaMqlor6q12HDhjwIEzhkbnkcskxIdpkBCmRVyYBvFhmrO+ahEfpkF0iJqfXhKR12SX1+K9n3MBAI9d2w+SxN8v1DnIZRKGJIVjQLwO+/L12JNbhfIaC77YV4iUyCCM6RWNmFCuJUhdGwtAIi8K0SgQoglBWsyv+xwOAUO9FeW1ZhjqrDCYrDDW22A0WVFdb4PdIdyTzjRHkoBglQKhGueYxRC1AqFqBW65tLu7YIwN1XCsAxGdlxACv3tnF2wOgZSoIOzKqcSunEpfh0XkVUq5DJemRuKSxDDszK7EgTN65FbWIXdnHgbE6/jUm7o0FoBE7UwmkxARrGpyxlAhBGotdhjrragx25ybyeb+vtpkQ63FBiHg3ne2HxuWrQCcRWJ0iNpZEOqcRaH7SaJO6y4UNUp5u//MROS/Pt1zBtnltZBJQEavaF+HQ9SutEo5xvWJwZCkMPx0qgJZpTU4UmTEiZJqSBLwu7E9PIZ3EHUFLACJfEiSJIQ0PNFrjkMI1FnsHoVhjcmGarMV4UEqFBtMKDaYYGmYqKas2owDaNzV1CUiSOnuWhoXpkFiuNa5RTi/dtNp2N2UqJPKr6zDs18fAQBcnhaFqBB2haOuITxIhesHxaPIUI8fs8pRZDDhrW3ZeOenHNw0JAEzLk/BsORwdoemLoEFIJGfk7WiSBRCoN5qb/QE0Vko/vq9zSHcC98fLTI2cz0g4ayiMClci/hwLWJC1IjVqRETqkZ0iBpKTlxDFHA2HS5GjdmG+DANhqdE+Docog4XH6bF/w1PQm5FHUqrzfj5dAU+31uAz/cWIDFci0lD4nFV31gMTgrjsk7UafFfNlEnIEkSglQKBKkUiG1mKS8hBMw2h2dxaLKh2mSFseFrjdkGh8CvYxKzm79mZLAKMSFqRAQrEaZVIlyrQniQEjqt0vlVo0SQSg6tUg6NSu7+XquUQ62QQ6WQQaWQ8WkjUQf6fUYaukcG4aeT5ZDxSQd1UZIkITU6GP+4bSgOnNFj1fYcfHO4GAX6eryx9TTe2HoaMgnoG6dD79gQxIVp0E2nQWSwEsEq5weyznWE5e71hINVCuYzChh+VwBmZmbid7/7HY4fP46MjAysXr0asbGxLbbZtGkT/vjHP6KgoAA33ngjVq5ciaCgoA6KmCgwSJIEjVIOjVKO6Ga6fTmEQK3Z5i4IjSYbquutqLXYUWu2oc5iR53FWSRW1lpQWWu56LjkMglKuQSVXAaVQg51Q2GolEvOIlHuei1zv+e5z1lcBqnlCFE7i+AQtRxBqrMSdMP3QSrn+dnFhzqaP+W2awbG4Uhh0z0AiLoS19q/yZFBmDU6FTnltThZWoNCgwk1ZhuOFhmb7S3TFI1S5i4OI4JUiA5RIybU+dW1hWgUDTlMgkouh1IhQSGTQSGTGvKhDBqlDDqNkusHU7uRhBDC10G4OBwO9OzZEzNmzMB9992HefPmISQkBO+//36zbfR6PVJSUvDiiy/i2muvxfTp0zFhwgQ8//zzrbqm0WhEWFgYXli7B5rgEG/9KESdlhACJqsDtRYbas02mG0OmKx2mGwOmK12mKwOmG12mK0OWB0O2OwCVrsDVruAzeH86ksKmYQglRwqhdydcBXyhq8yCTJJgiRJcKVdSXJuACBBOut7uN+QSYBaIXMW2Ao5NEqZu9jWKOXO2VtVcvcMriFnzebq/qqScz1IL3D9TjcYDNDpdL4OB4Bvc1tz98H1hy8RNa3aZEWJ0ewxSZvJZofVJmCxO2C1O2CxOb862iGtSQDUShmSI4MatmCkRAUhOSoIPaKCkRShZc7oItojr/lVAbhlyxZMmTIFFRUVUCgUyMzMxNixY1FWVobg4OAm26xatQovv/wyDh8+DAD4/PPPMX/+fOTm5rbqmiwAiTqWEAIOAdgdAnYhnF8dAg6HgK2JfWe/dm9n7RuWEoF6i3P8Y53FhhqzHXUNybrWYkOd2fme2ebw9Y9+Xmd/etzU1xD1WUWkWgGtSg5JkiCXJMgk51Neucz5vUySIGv4/uzCFQA8PlP22O/5aXNzbWQNhfLZ15LLXK+d++RnHdNov8wZs1zmjOvX7y/+025/LAB9mdtYABK1LyGcOclqE7hjVApqLc4hFhW1FpTXmFFe3fC1Yauz2FFkMHnkNFdedAjRsJ3/ugqZhOTIIPSIDkZqdDB6RDuLwphQNWJC1IgMVrFA7CTaI6/5VRfQ7du3Y+TIkVAonGGlp6fDbrcjMzMTGRkZzbYZPXq0+/Vll12GvLw85Ofno3v37h0SNxG1nrNggVfHSqi0MoRplS0e43A4n0RaGp5Gnpt0xVnJ92zirG+Ex37hsd/uELA1POW0nfW9teEJqMXmvHZsqNq9vEdtQ3FqaShOTVYHTFYLymsuvmttIHIVg87iteH7hgJS3vBkVn7O/nMLToelztc/RiPMbUSdlyRJUEgSFCrnEitNiQxWITJYhT7dmhmkfw67Qzh71jRM7maot7o3fb0VhjorbA6B0+W1OF1e20xcQGSQyr1+sHMohBxBagVCVAqolZ7DKVQK2VlDMJzvyWRoyI3O/Ah3nnTmQIdo+FDX8WsuBX49xiEEJPz6QaHk+nBScn6QKElnfWDZ8CGm63vnB8UO2B2urwL2c/Y5BPDAhN4X9h+ui/OrArC4uBjR0b+uSSSTyRAREYGSkpIW2wwaNMj9OirKubBnSUlJk0nSbDbDbDa7XxsMzunyTXU1Fx0/Efk/ZcMGr38wKjVsbT+x3SFgcThgtf3apchid8Bmd8Bsd8Bqa+hGaxMw2+2w2YX7fQFnghZwFrHO/NvwPZzJ2aOkbeaT5Ua7xdnfnlMUu86NX/8QcF3b4SqUxVn7Gt5v1b1o3WHNcpjrGmL0m84tPs1tRmPT45dMtcx5RP5MDiBYAoI1QDeNAohQAHCuVyiEQI3FBkOdFfp6Cwz1ziKx1mRDrdUGk8UBB4AyUx3KfPlDdIBZI2I7/bh+1+9xb+Y1vyoAgcY/nBDivP9hz27j+r65NosXL8azzz7baP+iGePaGioREfmpiooKhIWF+ToMN1/lNj4tJKLOLPwVX0fQcbyZ1/yqAIyPj8fRo0fdr+12O/R6PeLi4lpsU1b26+cbFRUVANBsmwULFuChhx5yv3YNtM/Ly/OrPxZaw2g0onv37sjPz/ebsS6tEahxA4Ebe6DGDQRu7IEaNxDYsRsMBiQnJyMyMtLXobgxt7VNoP77C9S4gcCNPVDjBgI39kCNGwjc2Nsjr/lVAZiRkYEXX3wRNpsNCoUCe/fuhUKhwNChQ1tss3jxYvfrHTt2IDU1FYmJiU0er1aroVY3ngI/LCwsoP4xnE2n0wVk7IEaNxC4sQdq3EDgxh6ocQOBHbtM5j+THzC3XZhA/fcXqHEDgRt7oMYNBG7sgRo3ELixezOv+U+GBDB27FjExMRg4cKFOHPmDBYtWoSpU6ciKCgIRqMRVqu1UZvJkyejqKgIy5cvR05ODpYsWYKZM2f6IHoiIqLGmNuIiMif+FUBKJPJ8Mknn2DdunXo1asXTCYTli5dCgAYPHgw1q9f36hNWFgY1qxZg6VLl2LAgAHo0aMHFixY0NGhExERNYm5jYiI/IlfdQEFgGHDhmH//v2N9ufk5DTbZuLEicjKyrqg66nVaixcuLDJrjP+LlBjD9S4gcCNPVDjBgI39kCNG2Ds7YG5rfUCNfZAjRsI3NgDNW4gcGMP1LiBwI29PeL2q4XgiYiIiIiIqP34VRdQIiIiIiIiaj8sAImIiIiIiLoIFoBERERERERdRKcvADMzM5Geng6tVouJEyeitLT0vG02bdqEPn36IDg4GNOnT0ddXV0HRNrYhcQeFxcHSZLc24gRIzog0saKioowbtw47Nu3r1XH+8s9B9oeu7/c89OnT2PcuHEIDQ3FlVdeidzc3PO28Yf7fiFx+8s9P3r0KEaNGoWQkBBkZGS0asIOf7jnFxK3v9xzAPjhhx8gSRK+//778x7rD/e7PTC3Mbe1FXNbx2JuY25rq47MbZ26AHQ4HJg2bRomTZqErKwsaLVazJ8/v8U2er0et9xyCx566CEcPnwYOTk5eP755zso4l9dSOyAM/6jR4+iqqoKVVVVrfpH5G1z5sxBQkICfvjhh1Yd7y/3HGh77IB/3HMAuPfee5GcnIxDhw4hKioK8+bNa/F4f7nvbY0b8J97fvvtt+Omm27CiRMn0K9fP9x3330tHu8v97ytcQP+c8+tVivmzp3bqmP95X57G3Mbc1tbMbcxt7UFc1vH6/DcJjqx7777Tuh0OmG1WoUQQuzZs0dotVpRU1PTbJuVK1eKAQMGuF9/9tlnIjk5ud1jPdeFxG4ymQQAYTabOyrMJpWVlYns7GwBQOzdu/e8x/vLPRei7bH7yz03m81CkiRx+PBhIYQQ69evFzqdrsU2/nDfLyRuf7nnlZWVYuzYse441q9fL+Li4lps4w/3/ELi9pd7LoQQL774orjqqqtEWFiY2LJlS4vH+sP9bg/Mbb7B3NbxmNs6HnObb3R0buvUTwC3b9+OkSNHQqFwLneYnp4Ou92OzMzMFtuMHj3a/fqyyy5DXl4e8vPz2z3ec+Noa+x6vR4ajQa33XYbtFotrrjiChQUFHRUyG7R0dFITU1t9fH+cs+BtsfuL/fcarXipZdeQo8ePQAAFRUV0Gq1Lbbxh/t+IXH7yz2PiIjAjz/+CJVKBYvFgjVr1mDo0KEttvGHe34hcfvLPT9z5gz+9re/4fXXX2/V8f5wv9sDcxtzW1sxtzG3tRZzW9fIbZ26ACwuLkZ0dLT7tUwmQ0REBEpKSlrdJioqCgBabNMeLiR2vV4Pk8mECRMm4MiRI5DJZHjkkUc6ItyL4i/3/EL4yz0PDg7GI488Aq1WC6vVildffRV33HFHi2384b5fSNz+cs/PFhQUhA0bNuC1115r8Th/uOdna23c/nLP//SnP2HOnDno379/q473t/vtLcxtvv9/vjX85Z5fCH+558xtzG0Xgrnt/BRtCzHwiHPWuRdCQJKkVrdxfX++Nu2hrbGnpaWhsLAQ8fHxAID7778ff/rTn9o1Rm/xl3veVv52z202G2bMmAGZTIZFixad93h/ue9tidvf7jkA7Ny5E0888QQeeOABrFu3rsVj/eWeA62P2x/u+caNG7Fnzx689957bWrnT/fbm5jbmNvak7/dc+Y232Bua3++ym2d+glgfHw8ysrK3K/tdjv0ej3i4uJa3aaiogIAWmzTHi4kdqVS6f5HDDgfhxuNxnaN0xv85Z5fCH+65w6HA9OnT8fJkyexYcOG83Y38Zf73ta4/eWel5WVYe/evQCAYcOG4YUXXsD69ethMBiabeMP9/xC4vaHe/7xxx+jqKgICQkJCA8Ph8FgwKRJk/DBBx8028Yf7nd7YG5jbmtv/nTPmds6FnNb18htnboAzMjIwK5du2Cz2QAAe/fuhUKhaLFPcEZGBn766Sf36x07diA1NRWJiYntHu+5cbQ19tdffx3jx493v87Ly2tTn39f8Zd7fiH86Z4vWrQIJ0+exHfffYfIyMjzHu8v972tcfvLPd+7dy9uuOEG92vXJ28yWfO/Vv3hnl9I3P5wz5csWYLjx49j37592LdvH0JDQ/HWW2/hpptuaraNP9zv9sDcxtzW3vzpnjO3dSzmttR2i7EpPsttbZoyJsDY7XaRlpYm/vKXv4j8/Hxx4403ipkzZwohhDAYDMJisTRqo9frRVhYmPjXv/4lsrOzxciRI8WTTz7Z0aFfUOyHDh0SarVafP311+LYsWPikksuES+++GJHh+6Gc2Yb8/d7frbWxu4v97yoqEjodDrx008/iaqqKvdmt9v9+r5fSNz+cs+rqqpERESEeO2110R+fr644447REZGhhDCv/+tX0jc/nLPz3b2TGn+fL/bA3Mbc9uFYm7z37j95Z4zt3WN3NapC0AhnFNMDx48WKjVanH11VeL0tJSIYQQKSkpYu3atU222bRpk+jVq5fQarXi1ltvFbW1tR0Y8a8uJPZVq1aJ5ORkERMTIx588MEm/+F0lHMTTSDcc5e2xO4P9/ydd94RABpt2dnZfn3fLzRuf7jnQgixZcsWMXjwYBESEiImTpwocnJyhBD+/2/9QuL2l3vucnaS9Pf73R6Y25jbLgRzm3/H7Q/3XAjmNl/qqNwmCXHOaGwiIiIiIiLqlDr1GEAiIiIiIiL6FQtAIiIiIiKiLoIFIBERERERURfBApCIiIiIiKiLYAFIRERERETURbAAJPJTxcXF7u9PnToFh8Ph9WsIITwWZb7QcxAREbUGcxuR77EAJPIDZ86cgSRJqKurAwAYjUb0798f5eXlsNvtuOqqq/DZZ5+1eI7Ro0fj9ddfb9N1KyoqMGrUKGzevLlVxxcVFWHSpEmoqqpy7xs1ahQ2bNjQpusSEVHnx9xG5J9YABL5gaCgICgUCgQFBQEAdDodbr31Vvz0009Yv349dDodbr75ZvfxJpOp0aemkZGRCA4O9thnt9thsViavW50dDRuueUWj6TXlPr6etjtdsTFxUGr1WLPnj0AgG3btsFut+Pqq6+G3W53J3kiIiLmNiL/xIXgiXxICIG6ujqYTCYkJiaisrISdXV1+P3vfw+dTgeZTIZffvkFSqUSgwYNQs+ePbFo0SIoFArY7XbI5XIAzmTo4trn2j9jxgysXr0ab7zxBp566ilotVpIkgSHw4H6+vpGidXVLj4+Hjt37gQAXHnllcjJyYFCoQAAmM1mFBYWokePHu42NpsN8fHx+Pnnn9vlXhERUWBgbiPybywAiXwoPz8fI0eOhBACZWVlGDx4MB599FHEx8dDqVRi7969WLFiBd544w0IIRAUFIThw4dDr9cjNDQUcrkcZrMZiYmJUCgUsFgsWL58OW699VYAziRst9vdye1sO3fuxBVXXAGTyXTeOIUQMJvN0Gg0AICPPvoIy5Ytwy+//OLxvkKhaPJaRETUdTC3Efk3/msm8qHu3bujqKgIzz77LBYvXoy9e/d6vG+z2RAaGoqxY8d67A8PD3d///nnnyMpKQlJSUnQ6XRYs2aNO0lKktRs0qqtrUVoaGir4jxz5gwuu+wy9yesRUVFCAoKQq9evQA4k2R9fT3efvttXHfdda398YmIqBNibiPybxwDSORjdrsdb7/9NoQQuP3221FTU4MbbrgBiYmJmD59Ovbu3YvU1FQkJCTgzTff9GjrcDiwZMkSzJs3D4CzO8u2bdtw8uTJ8143Ly8PVVVV6NWrl8c2YcKERvElJiaisLAQp06dwqFDh6DVavHtt9/i5MmTOHnyJE6dOoXCwkJcd9117TKjGxERBRbmNiL/xQKQyMdWrFiBvn37QpIkhIaG4i9/+Qs+//xz5OXl4aOPPsLQoUORk5ODM2fO4He/+51H21WrVqGmpgazZ88GAKhUKjz00EOYN2/eeZNVZmYmpkyZ4k50J0+exCOPPAKZzPPXwvr169G9e3f07NkTvXr1Qrdu3WC1WjFt2rRGCTYlJQVLly716v0hIqLAw9xG5L/YBZTIh3Jzc/GXv/wFX375Ja699lo8//zzOHjwINRqdaNjZTKZRwI7fvw4HnnkEbz33ntQKpXu/X/84x/x3nvv4b777sPy5cs9Bs67CCGwbt06/OEPf/DYX1paivj4eI99N910E2666SYAQE5ODjIyMvDNN9+gf//+F/WzExFR58TcRuTfWAAS+ZBer8eMGTOQnp4OwDl19Z49ezBt2jSEhobCbDajqqoKqamp7sHoBw4cgM1mw4033og777wTY8aMQX19PRwOB6xWK4QQWL16Na6//noUFhbi3//+d6PE98knn6CgoAAzZ8702F9aWorY2NgmYy0qKsINN9yAlJQUjB07FuHh4TAYDAgPD4fD4UBVVRV27NiBvn37tsu9IiKiwMDcRuTnBBH5lMPhEFVVVUKtVgshhLBYLMJkMgmHwyG2bNkiLrvsMvexFotFZGZmioSEBDF58mSRnZ0tlEql0Ol0QqFQCK1WK4KDg0XPnj3F6dOnRf/+/cWAAQOE2Wx2n+PUqVMiNjZWPPPMM41imTp1qnjppZca7d+8ebNISkoSy5Yt89gPQFitVi/dCSIi6iyY24j8F58AEvmYJEmwWq3u9Y7O7vICOLu0uCiVSqSlpeGBBx7A/PnzoVKp3IvhXnPNNfi///s//P73v3cf/9NPP8FoNEKlUgEAPv30U9x3330YM2YMnnzySfdxa9euRWFhITZt2oQ777zT4/orV67EfffdhxUrVjQap0FERNQU5jYi/8UCkMgPmM1m2Gw2CCEgSVKj984WFhaGxx57rMlznLvuUXh4uMe02llZWZg1axZeeuklj/ET7777Lg4ePIjZs2c3mup6+vTp6N27N6qrqxEREQGdTueOMTg42GO67Orqaqxbtw6jR49u+00gIqJOhbmNyD9xIXgiP2az2VBfX9/qNY2IiIj8HXMbkW+xACQiIiIiIuoiuA4gERERERFRF8ECkIiIiIiIqItgAUhERERERNRFsAAkIiIiIiLqIlgAEhERERERdREsAImIiIiIiLoIFoBERERERERdBAtAIiIiIiKiLoIFIBERERERURfBApCIiIiIiKiLYAFIRERERETURbAAJCIiIiIi6iJYABIREREREXURLACJOtgPP/yAf//73x77Pv74Y6xZs8b9etGiRfjXv/7V6nPm5OQgPz/fazG2RU5ODqxWq8e+r776ClVVVedta7fbvRbH2TEYDAZs3ry5zec4dOgQ/vznP+Pw4cNei4uIqCtgbvsVcxv5OxaARB3sm2++wWuvveax79SpU1i4cCGEEDAYDHjppZfadM4ZM2bgwQcfvOCYNm3ahOTkZOTm5rapncFgQHp6Op5++mn3vrq6Otx+++1YtGjReds//PDDGD58OKqrqz327969G9OnT291sqqqqkJqaqr7D4s9e/Zg4sSJOHr0aBt+Gud9+Pvf/96mNkRExNx2NuY28ncsAKlLKCoqwm9/+1uEh4cjNTUVL7zwAoQQ7veFEHj22WcRFxeHkJAQTJs2DRUVFe0Si0ajQXh4uMe++++/Hz179kRFRQVWrVqFqKgo3HPPPa0+Z0REBEJCQi44pp49eyI/Px8fffTReY81mUzIy8tDaWkprFYr/vCHP8BqtaK8vBzl5eV44403kJSUhMcffxzl5eUoKSlp9l6WlJRApVIhNDTUY//mzZvx1VdfISIiolXxv/DCCzAYDLj66qsBAOPHj8egQYPw4osvNtumpqYGZrMZDofDvW/16tWYNm0aBg4c2Oh4IQSsVitMJlOrYiIiam9xcXGQJMlj+81vfuN+n7mNuQ1gbqPGFL4OgKi9CSFw8803Q6FQYM2aNThx4gT+9Kc/IT4+HnfddRcAYOnSpVi0aBFefvllpKWlYd68eZgxYwY2btzotThqa2uhVCoBAJIkobq6GpIk4Y477kBVVRU0Gg1mzpyJzMxMqNVqXHvttTCbzXjqqadwzTXXAAAyMzOh0Wggk3l+dmMymWA0GnHs2DGP/TabDTabDenp6QCA3Nxc2Gw2qFQqSJLkPk6j0WDGjBlITU3FmTNnPM7hcDhgsVjQq1cvAM5PMDMyMqBQKCCXy93HLVu2DADcP2NKSgqEELBYLJgzZw5WrFjhPra4uBh6vR6nTp3C4MGD3XGnpKRAq9Xis88+w9SpUxEbGwubzea+Z2dfzyUzMxOvvPIKXn31VfTu3du9f8GCBbj99tsxc+ZMjz+IXPfl3MTssm/fPo97c64ZM2Zg9erVzb5PRNRRjEYjXn75ZYwZM8a9LywszP09cxtzmwtzG51NEmc/BiEKMEKIFvvaKxQK7N+/H+np6Th27Bj69u0LALjyyisRERGBtWvXAgBSU1MxevRofPDBBwCAlStX4u6778bJkyfRs2dPr8QaEhKC2tpaj31LlixB7969YTabIZPJ8Nlnn+HAgQN49tlnATj7/o8cOdIdgyRJUKvVHp+IVlZWup9mnvue1WqFSqVCWVkZAGDcuHHYs2cP5HK5OxG4YgoODm4ybrvdDqVSicrKSgDOey6EaJSoR4wYgcsvv7xRFyDXOc5OcHPnzsXy5csbHbdz506o1WoMGTKk0XvXXHNNoz9aDAYDRowYgV69emHDhg2N2lx55ZU4efIktm7d2ui/Y1ZWFpRKJVQqFQDguuuuw4ABA7Bs2TLs2bMHiYmJiIuLcx/vcDjcf2CcvZ+IyNtak9tcv9+3bdvmUQCejbmNuY25jZokiALYli1bBIBmt+zsbJGbmyvee+89YbPZ3O1GjRolpkyZIoQQYufOnQKAePfdd93v5+fnCwDixRdf9FqsxcXFoqKiQlxyySVi7Nixory8XNTU1Hgc89xzz4lx48Y1e476+nqP10eOHBEARExMjNDpdGLUqFFtjuu6664T1157bZvaVFVViVOnTon8/Hz3FhQUJP7617967Dt9+rQ4ceJEo/YPPvigmDVrlsc+AGL//v3ivvvuE+np6SIrK8u9zZ49W8ycOdPj+NraWnHFFVeIlJQUUV5e3mSc+fn5IiEhQSQmJoojR440+/O88sorIioqSpSUlAghhEhOThZvv/12m+4JEZG3tCa3lZWVCQDN/m5jbmNuY26j5rALKPk9SZLwzTffYMOGDXjnnXegUCgwf/58LFiwAMOHD8euXbuabZuQkACVSoWZM2cCAKqrq7F27Vrs2LEDq1atAgAcP34cANxPBwEgKSkJGo0GJ06c8NrP0a1bN+Tm5uLQoUMYN24coqKiADi78DgcDuh0Oo/jLRYLzGazR3cOjUbjccyKFSvQu3dv9O/fH3a7HZs2bUJeXh6Sk5NbHVddXR3i4+Pb9LN89tlnmDt3LjQaDSRJgs1mQ11dHZYsWYIlS5Z4/AxarbbROImmursAQHZ2NlauXIlPP/3U3S0HcH4y67pfAJCXl4ebb74ZR48exYYNGxqNO3FJSkrCt99+iwkTJmDYsGFYsGCBx6B+ANiyZQsee+wxrF27FrGxsQCcnzY396kxEZE3XGxuc82O+fbbb+Odd94BANx+++34+9//DqVSydzG3MbcRs3zdQVKdD4ARHp6urjmmmvE+vXrxbx589yfqLXVZZddJgCIe+65x71vyZIlAoA4duyYx7FxcXHihhtuuOj4z/b0008LACItLU1cfvnlorq62n39pja1Wt3sucrLy0VYWJj4xz/+ISZPnixmzZolxo8fLx566KE2xZSWltbs9efNm9fo+JqaGmG1Wj32zZkzR4wePbrZa1itVo8nsA8//LCYMmWKOHr0qHsDIDIzM8Xq1avF8ePHRW5urvv4m266STz77LPu14888ojQaDTiu+++E2PGjGnxk/JBgwaJ06dPiyFDhogdO3Z4xLVt2zYRFhbWYnvXNmHChDbdVyKillxsbtuzZ48AIK688kqxadMmsWjRIgFAvPDCC0II5jbmNuY2ah4LQPJ7AMSQIUPcv5htNpvQ6XRi9erVwuFwCKvV2ux2rt27d4tHHnlEABD//ve/hRBCvPzyywKAOHr0qMexsbGxYtKkSV77OWpqakRsbKwYMWKEGDNmjOjXr5948MEHhdFoFMXFxcJoNIqnnnpKjB07VlRXVwuDwSCKi4ubPd+9994rYmNjRU1NjTtJfvrpp0KtVjfZNaUptbW1QqFQiBUrVoj6+nqPLTw8XLzyyiuN2gwZMqRVSeXcbdWqVe5zPPzww00ec/DgQSGEEKNHj/boFpORkSFeffVVjzgKCgqEEELk5eWJnJwcMXHiRDF9+nSPbjo33nijmDx5shBCCLvd7tF+zZo1IigoSNx///0CgPj+++/d7VJTU8Ubb7zhfv3oo4+K66+/vlX3lIioNS42txUVFYnly5cLg8HgPufQ/2/vzsObuO/8gb9HhyVZtuQLsDEG2yEkQEINobChGEighKRJSJM2JSk0dHtw7SYLy6Z125SEXZY2dKHphoWk6abd0jQ/0oSkNaSUNFzBIQcGEk6bQ/g+sC3Jl2Qd8/tD0oDxbUuakfR+Pc88D6OZkT6aEH35zPf4TJ4s3nrrraIosm1j28a2jXrGMhAUEVauXAmNxjdiWa1WIzk5GS6XCwcPHoRWq+1xs1gsnd7njjvuwKZNmzBt2jRpGeXApGer1drpXJvNFtQJ0Zs3b4bRaMT9998PjUaDf//3f8eRI0dgNBoxYsQIJCYmIi4uDmq1GgkJCTCZTBgxYkS37/XBBx/glVdewbp16zoN53j44YeRl5eHr33ta13qD3XnwIEDcLvduPPOO6HX66VNrVbDarUiMzOz22taWlrQ3t6O1tZWzJ49G/n5+Whvb+92a2trg9VqxTe+8Y1O7/PEE09Ik+7FG9aievbZZ/HHP/4RZWVlAHy1kG5cNnvkyJEAgKysLIwZMwZlZWX4whe+gFGjRkmb1WqVhgxdP7H/7Nmz+Pa3v41Fixbhl7/8JQDfMKbAdWq1GikpKdK+yWSSVoAjIgqWobRt6enpWL58eachluPGjZN+N9m2sW0D2LZR9zgHkCJCT6uV9WeexHPPPYdPPvkEhYWF0uu5ubn4/PPPAQATJkwA4Pvh/Id/+AcAgMVigdPpxPjx44MS/+XLl/Gf//mf2Lp1K6qqqgAAjzzyCGbMmIGysjIkJiZCp9Oho6MDHo8HLS0tAACn0wkAneYIXLx4EV/96lfxpS99CcuXL+/0OYIg4Pe//z2mTZuGL3/5y/jzn/8sjf3vzssvv4xbbrkFkyZN6vR6XV0dAGDYsGFdrrl+TsIPf/hDHDx4EH/4wx9QU1Mj/UMmoKOjAxqNZkDzNgBg3rx5mDx5Mi5duoTRo0d320he7+LFizh37hxmzZrV6fXKyko8+OCDXc4fP348iouLcfPNN/e60h4RUSgNpW07fPgwqqqqOiUg7e3t0m802za2bUQ9YQJIEaGnidWJiYmYOnVqr9fqdDq8//77aG5uliadX7hwAbm5uQCAyZMnIzc3F3/961+luoD79u0D4HvqGAxpaWm466678MQTT2Djxo0AfA3a+++/jyVLlnT7vQJmz56NAwcOAPAt7/yVr3wFGo0GmzZtwueffw6dToeWlhYIgoBz587B6XTixRdfxPLlyzFlyhS8/PLLuO+++7p8xv79+/HnP/+5Uw2jgN4aScC3bPQPf/hD/OIXv8C3vvUtPPHEE9DpdAB8S28H6lB1dHTgzjvvxN///vcB3C3fvbn+Hz+NjY29NpJr167F+PHjceedd3Z6vaqqCllZWd1eM27cOADo8oS2Oy6Xq9f6SUREgzGUtu3gwYPYtGkTHnroIeh0Oni9XhQXF0tJD9s2tm19YdsWw+QbfUrUPwDE/fv3d3ptzJgxncbd98ZisYhGo1H86le/Kv7tb38Tn3nmmU5zAEXRt1SySqUSN2/eLL799tviyJEjO42Lt9ls4ocffii2trYO+nsEJopfvxx2R0eH2NraKs3puHGpbLfbLX3mu+++K5rNZtFsNosff/yxuHr1atFgMIgpKSliXFycqNPpxJSUFNFgMIjf+973xGPHjokZGRmiTqcTi4qKOsVy6tQpcfjw4eKMGTO6zB8QRVF86623RABiXV1dl2MVFRXivHnzRJ1OJ7722mudju3bt6/Xyf0Bfc2TuJ7D4RCB7pc6t9vt4iOPPCLq9Xrxgw8+6HSsrKxMBNDlu9+oubm5yzyZm266SXzjjTfEixcviqtXrxazs7PFb3/7231+LyKi/hpq23bhwgVRp9OJjz/+uPi3v/1N/M53viMCEA8ePCidw7atM7ZtbNvIhz2AFPXGjBmDgwcP4l//9V/x8MMPIyMjAy+++CK++93vSuc8+eSTsNvt+PnPf46WlhYsWLAAL7/8snS8uLgYd911F44fP468vLxBxRF40uv1euH1egFAms/R2zXx8fEAfE/1brvtNmzZsgVf/OIX8cUvfhGbN28GADzwwANITk7G//3f/3W6/vjx4zh+/Lj09NDr9eJXv/oVfvSjHyEjIwNvvvmmNH9AFEX84Q9/QHNzM7Zu3YqkpKROw3MAXxmNwJyKv/71r8jJyUFFRYV0/OrVqwDQ6TWPxwOHw4Gbb75Z+iyXy4WHHnpIemIM+IauuN1uaf/QoUP44IMPcOrUKcTHx2PUqFHSMafTid/85jf42c9+BpvNhr/+9a9SIeSLFy/i2WefxWeffQaNRtNpCfTueDwejBgxotMQH4/HA6/Xi9GjR+Ptt9/GnXfeiR/+8Ie9vg8RUTjddNNN2L17N37wgx/gwQcfxOjRo/Haa691Gi7Ito1tG9s26g4TQFI8sZthDDcu7tKXO+64Qxpq0h1BEPDMM8/gmWee6fb4nDlzMH/+fGloxVB0dHTA5XL1eDzQgN4oNzcXH3zwQbfHXC5Xt+85YsQILFiwQNpvbW3F/v37MXXqVPzpT3/qNIdCEAT87ne/w3vvvYf09HT813/9V6fJ5YBv+M57772HjIwMvPbaa7jnnnukekkBer0et912m7QfaCSbmpqQkJAAwDcsd/To0bj11lul86ZPn97lHwxbt27FxIkTsXPnzk5Dh+Li4nDu3Dncdttt+J//+R9kZ2dLx3JycnDy5ElkZGSgoKAAKSkp3d6zALPZjJqamm7vp0ajwaVLl3q9nohoMILRts2dOxeffvppj8fZtrFt6+5+sm0jJoBE/VBdXY1bb71VemI5FC6XCx0dHT0eD0yOD+Z7BiQmJmLnzp1Qq9VdJrUDwKuvvgpRFHucWwBcm1+wbNkyLFu2bMCxAsDzzz/f5bWjR4922p81axYqKyu7vV4QBLzwwgvdzl1QqVT47LPPBhVXQH/vJxFRJGPbdg3bNoolgtjdIygikoXT6YTL5ZKeJhIREUU6tm1EysIEkIiIiIiIKEawEDwREREREVGMYAJIREREREQUI5gAEhERERERxQgmgERERERERDEi5stAeL1eVFVVITExsdtld4mIKHKIoojm5maMHDmyS62vWMK2jYgoOoSiXYv5BLCqqqrXujBERBR5ysvLMWrUKLnDkA3bNiKi6BLMdi3mE8DExEQAvptqMplkjoaIiIbCbrcjKytL+m2PVWzbiIiiQyjatZhPAANDY0wmExtJIqIoEevDHtm2ERFFl2C2a7E7QYKIiIiIiCjGMAEkIiIiIiKKEbIlgNXV1Zg9ezZOnDjR57kHDhyAIAidtuzsbOl4enp6p2NTp04NXeBEREREREQRSpY5gMuWLcPLL7/c7/NnzpyJpqYmaX/r1q0oLCyU9q1WK86ePYv09HQAgEYT81MbiYiIiIiIupClB3DDhg24fPlyv8/XaDRISkqStgMHDmDBggUAAKfTCafTidzcXOl4QkJCqEInIiIiIiKKWLIkgGlpaZ2GcA5ES0sLDh06hPvuuw+Ar/dPr9fjscceg8FgwKxZs1BZWRnEaImIiIiIiKJDxC0C895778FsNkvz/KxWKxwOB+bOnYszZ85ApVJh7dq1PV7vdDpht9s7bURERERERLEg4ibL7dmzBwsWLJBqYeTm5qKqqgoZGRkAgBUrVuCpp57q8fqNGzfiueeeC0usREREREREShJxPYDvvvsu7r33Xmlfq9VKyR8AJCcn99qrV1BQAJvNJm3l5eUhjZeIiIiiQ32zExvfPYtlv/8Uvz1yGR1ur9whERENWET1AJ48eRJVVVW45557pNe2bt2KN998E++//z4AoKysrNf5hTqdDjqdLtShxpwt+0q6fX31l8eFORIiIqLgs1xtxaMvfYi6ZicAYO/pWrx/vh6vfGsq4jQR9zydiGKYon6x7HY7XC5Xj8f37NmD6dOnIyUlRXptzpw5KCoqQmFhIc6fP48XXngBS5cuDUO0REREFAtcHi/+6Y/FqGt24qZhRvzLvJth0KpxqKQeL75fKnd4REQDoqgEcNKkSdi9e3ePx/fs2SOt/hkwceJEbN++HatWrUJ+fj7mzZuH1atXhzpUIiIiihHL/u8YTlXaodeoMOeW4RBFYNPXJwEAth+8hBqbQ+YIiYj6T9YhoKIodtq3WCy9nn/48OFuX1+6dCl7/YiIiCgorp/W4BVFfHKlEQAwPTcVCTrfP52+cnsG/i/7Cj62NOI3H1zCj78yQZZYiYgGSlE9gERERERKUtbQhmaHGzqNCreNNEmvC4KA78/KBQC8WVwJp9sjV4hERAPCBJCIiIioB+dqmgEA4zNM0Kg7/7Npzi3DMDxRh8bWDnxQelWO8IiIBowJIBERURBcunQJs2fPRmJiIubMmYMrV670ec3evXsxbtw4GI1GLFq0CG1tbf06RuHh9npx+WorAGDciIROx7bsK8F/v38BGWY9AOCvp2rCHh8R0WAwASQiIgqC73//+xg9ejROnTqF1NRUrFq1qtfzrVYrHn30UaxZswanT5+GxWLBhg0b+jxG4VNtdaDD40V8nBrpJn235+QO8yWGB0vqu6xtQESkREwAacg8XhHnqu34oPQqyhv5hJqIYk9HRwfef/99FBQUYMyYMfjOd77T48JlAbt27cKoUaOwfPlyZGdn4+mnn8aOHTv6PEbhU2FtBwBkJcdDEIRuzxlp1kMtCKhrdmLdn09jy76SHmvjEhEpARNAGhJRFLFm5wnsPVOLY2VNeOt4JU6UW+UOi4gorFwuF55//nnk5OQAABoaGmAwGHq95siRI5gxY4a0P336dJSVlaG8vLzXYxQ+lU2+BHBUcs//LTVqFUaYdZ3OJyJSMiaANCSvf1KOd05UQRAgzYM4WFKPOjtrIhFR7DAajVi7di0MBgNcLhd+9atfYcmSJb1eU1NTg7S0NGk/NTUVAFBbW9vrse44nU7Y7fZOGw2N2+OV6vtl9pIAAsCopHgAQKWVCSARKR8TQBq09g6PNMxl5k1p+PodozBu+LW5EEREscbtduOb3/wmVCoV1q9f3+f5188ZC/w5MNSwt2M32rhxI8xms7RlZWUN+juQT43dAY8owhinRpJB2+u5gQSxoqmd8wCJSPGYANKg/eVkFeqanchMMmBSlhmCICD/5mFQqwRU2Ryo4pNQIoohXq8XixYtwoULF/Duu+/2OQQ0IyMD9fXXHpY1NDQAANLT03s91p2CggLYbDZp41DRoauyXuv96ynxDsgw66ESgBanGy1OdzjCIyIaNCaANGCBCe6b/b1/2Wnx0Kh8f5US9Brcmp4IAJwLSEQxZf369bhw4QLef/99pKSk9Hl+fn4+ioqKpP2jR48iOzsbmZmZvR7rjk6ng8lk6rTR0NQ1+xLAET2s/nk9rVqFZGMcAKC+2RnSuIiIhooJIA1KU1sHauwOqARgfHrnf2h8YVQSAODS1VbYHS4ZoiMiCq+amhps2bIF27ZtA+Ar42C1WuH1emG32+Fydf0tXLhwIaqrq7Ft2zZYLBZs2rQJixcv7vMYhUcgkRueqOvX+cMTfOfVtzABJCJlYwJIg3KhrgWAb2lso07T6VhaQhxS4uPg8YrYy8K4RBQD9u7dC7vdjhkzZiA5OVnaysrKMGnSJOzevbvLNWazGTt37sTmzZsxYcIE5OTkoKCgoM9jFHoOlwd2h28o57CE/iWAaf5EkT2ARKR0mr5PIeoqkACO9S/6cj1BEHBLeiI+vNSAP5+swtencjECIopuTzzxBJ544oluj1kslh6vmz9/PkpLSwd8jEIrkMSZDVrotOp+XRNIFJkAEpHSsQeQBqzV6Uadv4HLSTN2e864Eb7E8MiFq9I8CiIiokgQaOP62/sHAMP8PYB2hxtOlyckcRERBQMTQBqw8qY2AL7G7sbhnwFJ8XFIN+nhFcFhoEREFFECvXjDTP1PAPVaNRL1vjbxaktHSOIiIgoGJoA0YGUNvgRwdEp8r+fdNMzXO/j+ubqQx0RERBQsV1sH3gMIAGn+869yIRgiUjAmgDQgoiiirLF/CWC2f3ho0cUGtHdwOAwRESmf2+OFtdW3amuqv7RDf6X4z29qYw8gESkXE0AakJLaFrR2eKBRCRhp7r02UqoxDiPNejjdXhy91BCmCImIiAbvSmMbPKIIjUqQhnT2V3K8FgDQ2MoEkIiUiwkgDcjh0noAQGayARp17399BEHAXbcOB8BhoEREFBlKa5sB+HrzBEEY0LXXegBZA5eIlIsJIA3Ihxd9PXlZyb0P/wy4+7oEUBTFkMVFREQUDKW1vjJHAx3+CQAp8b5rWpxuNDuYBBKRMjEBpH7zekV8eqUJAJCZZOjXNXfelIo4jQqV1napdiAREZFSlfrbqpRBJIA6rRrxcb66gZfqW4MaFxFRsDABpH4rrWuBrd0FjUqQ6h315aWDl5Dhnyv43F/OYMu+klCGSERENCQlgSGgCQNPAIFrvYAX6/nQk4iUiQkg9dsnlkYAQLpZD7Wq//MiclJ9q4FevsqnoUREpFwer4hL/rYqkMgNVLK/55CjXohIqZgAUr8FEsD+Dv8MCJSDqLa1w+lmOQgiIlKmKms7OtxeqFUCTAbtoN4jMHSUQ0CJSKmYAFK/fWrxzf8bOcAE0GzQwmzQwisClU3toQiNiIhoyAK9f0kGLVQDXAE0IMmfOFoamAASkTLJlgBWV1dj9uzZOHHiRL/OT09PhyAI0jZ16lTp2N69ezFu3DgYjUYsWrQIbW1tIYo6dlVa21FpbYdaJSDd1Hv9v+6M8ReNv9LI/zZERKRMl/3z9pLiB9f7d/21loZWeL1c/ZqIlEeWBHDZsmUYOXIkDh061O9rrFYrzp49i6amJjQ1NeHAgQPS648++ijWrFmD06dPw2KxYMOGDSGKPHZ96h/+OXGkCXGagf+1GZPqTwAbmAASEZEyWfxtVNIg5/8BgEmvhUoAHC4vauyOYIVGRBQ0siSAGzZswOXLl/t9vtPphNPpRG5uLpKSkpCUlISEhAQAwK5duzBq1CgsX74c2dnZePrpp7Fjx45QhR6zPr7sSwC/mJ0yqOszkw1QCYCt3YUyJoFERKRA0hDQIfQAqlQCTHp/LyAXPyMiBZIlAUxLS0N2dna/z7dardDr9XjsscdgMBgwa9YsVFZWAgCOHDmCGTNmSOdOnz4dZWVlKC8vD3bYMS2wAMwXs5MHdb1Oo0a6vxzE4Qv1QYuLiIgoWC5f9Q0BTTYMvgcQuJZAXuY8QCJSoIhYBMZqtcLhcGDu3Lk4c+YMVCoV1q5dCwCoqalBWlqadG5qaioAoLa2ttv3cjqdsNvtnTbqna3NhZJaX6M4dZA9gAAwJsW3GuihEiaARESkLE63BxX+hcqG0gPou96XQLIHkIiUKCISwNzcXFRVVWHlypXIycnBihUrsH//fum4KIpd/iz0sHrXxo0bYTabpS0rKyu0wUeB4+W+1T/HpMYjLaF/BeC7M9o/D7DoQgPcHm9QYiMiIgqGsoY2iCKQoNMgPk49pPeSegCvcsoDESlPRCSAWq0WGRkZ0n5ycrLUc5eRkYH6+ms9Sg0NDQB8q4Z2p6CgADabTdo4VLRvJ8ttAIC8rKQhvc/wRB30GhWanW6crLAOPTAiIqIguezvrctJM/b4ELm/WAqCiJQsIhLArVu34u6775b2y8rKpDmE+fn5KCoqko4dPXoU2dnZyMzM7Pa9dDodTCZTp426t2VfCbbsK8Gu4xUAAGubC1v2lQz6/VSCgNH+chAHS64GJUYiIqJguD4BHKpk/xDQsoY2eFgKgogURlEJoN1uh8vl6vL6nDlzUFRUhMLCQpw/fx4vvPACli5dCgBYuHAhqqursW3bNlgsFmzatAmLFy8Oc+TRSxRFaRnrwdT/u1FgGOjhUs4DJKLoM5AatwcOHOhU31YQhE4LpPVW/5aCL5gJYIJegzi1Ch0eL6qs7UN+PyKiYFJUAjhp0iTs3r27y+sTJ07E9u3bsWrVKuTn52PevHlYvXo1AMBsNmPnzp3YvHkzJkyYgJycHBQUFIQ79Khla3fB4fJCLQhISxzaqmgApB7Ak+VW2Nq6JvtERJFqoDVuZ86cKdW2bWpqwn/8x390mu7QU/1bCr4t+0pwuNQ3MuVczdAXh1MJgvTA8zIXgiEihdHI+eHXL94CABaLpcdzly5dKvX63Wj+/PkoLS0NYmQUEOj9S0uMg0Y19OcFiXotbh6egNK6Fhy5eBX33Z7R90VERBFgw4YNKCgoQE5OTr/O12g0SEpKkvYPHDiABQsWAOhc/zYubugP36hv1rYOAEMrAn+97FQjLtS1wNLQilkYFpT3JCIKBkX1AJLy1NqcAIIz/DMg/2ZfQ8hhoEQUTQZa4/Z6LS0tOHToEO677z4Avde/peDrcHvR2uEBACQbhlYCIiAnjT2ARKRMTACpV9L8P3MQE8BxvrqNh0qudukFJiKKRe+99x7MZrM0z6+3+rfdYY3boQn0/hm0aui0QysBEZCTlgCAtQCJSHmYAFKPPF4R9c3B7wH8h5xUxKlVqLS24xIbRiIi7NmzBwsWLJDKD/RV//ZGrHE7NE3+OenJQywAf71sfw+gpYG1AIlIWZgAUo/qW5zwiCL0WhXMQRoSAwCGODW+mJMMADhcwmGgRETvvvsu7r33Xmm/t/q33WGN26EJ9vw/4NpqouWNbXB7vEF7XyKioWICSD2qtfmGf44w6YdcFPdGgXmAh0pZD5CIYtvJkydRVVWFe+65R3qtt/q33WGN26Gxtft6AM1B7AEckaiHXquC2yuioomlIIhIOZgAUo+CWf/vRrP8CeCHFxvgdHuC/v5ERErRU43bgD179mD69OlISUmRXuut/i0FXyABTAriaBeVSkB2qq8XkAvBEJGSMAGkHtW3+Ob/DU/UBf29b01PRFqCDu0uD4qvWIP+/kREStFTjduAPXv2SKt/BvRW/5aCz+bwJYCmICaAAJgAEpEiyVoHkJTL4fKgqdU3J2JYCBJAlUpA/s1p2HW8EodK63HnTalB/wwiIjkMpMYtABw+fLjb13urf0vB43B50Or0jUQJ5nx3AMj2zwO0NDABJCLlYA8gdetCXQu8IqDXqJCgC81zgln+chCsB0hERHKpaPKt0hmnVkGvCe4/i3LT2ANIRMrDBJC6dabKt9pcWqIu6AvABHxprC8BPFVpR4N/uCkREVE4lTX6EkCzQRv09o49gESkRBwCSt06U+1LAEMx/HPLvhLpz2kJcbja0oEf7focLy2ZGvTPIiIi6k2Zv06fyRD8fxIFagFWNrWjw+1FXJB7GImIBoO/RNStQA/g8ITgJ4DXG+OfIB94AktERBROZY2+Eg3Bnv8HAMMSdDDGqeEV2c4RkXKwB5C68HpFqQcwLQQ9gNcbnRKPY1eaUNbQBlEUQzbclIiIqDvXDwENpsBol3idBq0dHliutmLs8ISgfgYR0WCwB5C6KG9qQ4vTDbVKQHJ8XEg/a6RZD41KQGuHB+drm0P6WURERDcqD1ECGBCoLciFYIhIKZgAUhdnq32JWKoxDmpVaHvkNGoVMpMNAIDDJVdD+llERETXE0VR6gEMdg3AgKR4fwLIhWCISCGYAFIXF+quJYDhMCbFN0n+EMtBEBFRGF1t6UC7y1cD0KQPVQLoa0st7AEkIoVgAkhdlNa1AABSwpQAjvYngB9fboTD3xATERGFWqD3L1GvCdmIl2R/DyATQCJSCiaA1EVpbXgTwBRjHBJ0GjjdXnxiaQzLZxIREUnz/0LU+wcASQZfW1plc/AhJxEpAhNA6sTjFXGxPrwJoCAIyEzyzQM8XmYNy2cSERGFev4fAOi1Kuj89f+uNLAUBBHJjwkgdVLZ1A6nv1htKBvEG6Wb9QCAE+XWsH0mERHFtlCVgLieIAjXFoLhMFAiUgAmgNRJqX8BmJuGJUAVxpp8I0y+eoMny60QRTFsn0tERLErHAkgcG0YqIUrgRKRAjABpE4CC8CEu1jtsAQdtGoBDa0dqGhqD+tnExFRbAp1DcAAqQewngkgEcmPCSB1ElgA5uYwJ4AatQoTMkwAgOMcBkpERCHmcHlQY3cACGMCyB5AIlIAJoDUSaAGYLgTQADIy0oCAJzgQjBERBRiVdZ2iCIQH6eGXhvafw6xFiARKQkTQJKIooiL/uEp4R4CCgBf8CeAJyusYf9sIiKKLVVWX+9fZpIBQojnvCf7exjrmp1odbpD+llERH1hAkiShtYOtDjdEARgdGp82D8/0AN4qtIGt8cb9s8nIqLYUWX1zTcf6S9DFEo6rVoqrcSFYIhIbrIlgNXV1Zg9ezZOnDjRr/OPHTuGKVOmwGQyYeHChWhsvFYwPD09HYIgSNvUqVNDFHV0C6yGlm7SQ6dRh/3z3z5eCa1agNPtxbN/Po0t+0rCHgMREcWGijAmgACkWoBb37+ALftK2MYRkWxkSQCXLVuGkSNH4tChQ/063+v14vHHH8f8+fPx2Wefoa6uDj/96U+l41arFWfPnkVTUxOamppw4MCBEEUevbbsK8FLBy8CAFSCIEvDJAgC0hJ85SDqW5xh/3wioqEa6MPN3h5g7t27F+PGjYPRaMSiRYvQ1sYi4sEU6AEclRyeBDDJPwy0qd0Vls8jIuqJLAnghg0bcPny5X6ff+nSJZSUlOCZZ55BdnY2lixZgsOHDwMAnE4nnE4ncnNzkZSUhKSkJCQkhH/+WjSwt/vmJZgMGtliGJboSwCvNnfIFgMR0WAM9OEm0PMDTKvVikcffRRr1qzB6dOnYbFYsGHDhhBFHpuuDQHVh+XzAgvBWNvYvhGRvGRJANPS0pCdnd3v8+Pj4/HLX/4SRqMRANDQ0ACDwffEzmq1Qq/X47HHHoPBYMCsWbNQWVkZirCjns3/VDLUy2H3Zhh7AIkoQg304WZvDzB37dqFUaNGYfny5cjOzsbTTz+NHTt2hCr0mLNlXwlOV9kBAEdKG8LymYFSENY29gASkbwiYhGYkSNH4qmnngIA2Gw2vPLKK1iyZAkAXwLocDgwd+5cnDlzBiqVCmvXru3xvZxOJ+x2e6eNfOxKSAD9PYD1zU6IoihbHEREAzXQh5u9PcA8cuQIZsyYIZ07ffp0lJWVoby8PNhhxyRRFNHi8I16SdSHZ9RLYAgoE0AikltEJIABra2teOCBBzB58mSsWLECAJCbm4uqqiqsXLkSOTk5WLFiBfbv39/je2zcuBFms1nasrKywhW+4tkcvkbJpJcvAUw1xkEQgHaXB60dHtniICIKtd4eYNbU1CAtLU06NzU1FQBQW1vb7Xvx4ebAtHV44BFFCACMuvAkgGZ/D2C7y4MON1e6JiL5REwC2NbWhnvuuQfx8fF4/fXXoVL5QtdqtcjIyJDOS05O7rXhKygogM1mkzY+TfXxeEU0+5+GytkDqFGrkOyfJ1HfzGGgRBS9+nqAef0oiMCfe6pXx4ebAxNo74w6DdSq0NYADNBp1ND7VwK1O9gLSETyiZgEcOXKlTAajXjnnXeg11+bsL1161bcfffd0n5ZWVmvQ3B0Oh1MJlOnja41RhqVgPi48JeAuF5gHuBVzgMkoijW2wPMjIwM1NfXS8caGnzz1NLT07t9Lz7cHJhmf5sXruGfASb/A1Y7VwIlIhkpKgG02+1wubr+KJ48eRJvv/02XnzxRbS3t8NqtcJqtQIA5syZg6KiIhQWFuL8+fN44YUXsHTp0vAGHgWun//X0xPmcLl+HiARUbTq7QFmfn4+ioqKpGNHjx5FdnY2MjMzu30vPtwcGHuY5/8FBBJAGxNAIpKRohLASZMmYffu3V1ef/vtt2Gz2TBu3DgkJydLGwBMnDgR27dvx6pVq5Cfn4958+Zh9erV4Q494gUaI5OMwz8DUhN8Q0AbWrhUNhFFvp4ebvb2AHPhwoWorq7Gtm3bYLFYsGnTJixevDjMkUevaz2A4W3zzP7PCySgRERykDUBFEUReXl50r7FYsFDDz3U5bx169ZBFMUuW8DSpUtx5coV1NXVYcuWLdBq5U9iIk2gBqBZxgVgAtKMvh7ApvYOON1cCIaIIltPDzd7e4BpNpuxc+dObN68GRMmTEBOTg4KCgrCHXrUapapBzDRX2eXQ0CJSE7yVfwmRbnWAyj/XwmjTg2dRgWn24sLdS2YONIsd0hERP12Ywkbi8XS47lLly7tcdrC/PnzUVpaGsTIKCCQAIZ71etrPYBMAIlIPooaAkryCTRGcq4AGiAIAtL8C8Gcr2mWORoiIoo28i8C42atWyKSDRNAAnCtB1AJCSBwbR4gE0AiIgqm9g4PHP46fAlhqgEYYPInnB0eL5ysBUhEMmECSLC1uaSGSAmLwADX5gGeYwJIRERBVNfsAOAre6TThPefQRq1Siq1xJVAiUguTAAJZY1tAID4ODW0amX8lUhLZA8gEREFX63dV2LIqNPIUvbIzFqARCQzZfxrn2QVSACVMvwTAFL9PYA1dgdsbWwkiYgoOAI9gEZ/T1y4BeYdshQEEcmFCSChvMmXACpl+CcAxGlU0lyJczV2maMhIqJoUXddD6Ac2ANIRHJjAkjXegAVUAPweqmBlUBrOQyUiIiCo1bqAZQnAQyUnrCxFAQRyYQJIKG8MdADKH8NwOul+VcC5UIwREQULPVSD6A8Q0BN7AEkIpkxASRFzgEErs0DPFfNIaBERBQcdc3yDgENTG9odrAWIBHJgwlgjPN4RVQ2tQNQXgIY6AEsqW1hI0lEREFRa/cNAY2XbREYX1vr9opoaO2QJQYiim1MAGNcta0dbq8ItSDI9jS0J0nxcdCqBbQ43ajwJ6lERERDEegBDHcR+AC1SpCGn1aybSMiGTABjHGB4Z+JBg1UMtRD6o1aJeCmYQkAWA+QiIiGzuHySAXY5XzoGVgIptLKBJCIwo8JYIwrV+gKoAG3picC4EqgREQ0dPX+3j+1SoBOI98/gQK1ACv8ZZiIiMKJCWCMK2tUXg3A692SbgLAlUCJiGjori8CL8g46kXqAeQQUCKSARPAGFfWqMwFYAKkHkAWgycioiGqlbkIfECgB5BDQIlIDkwAY1y5QktABNziTwAv1beiw+2VORoiIopkdXZ5i8AHBHoAucAZEcmBCWCMU3oCmGHWI1Gvgdsr4mJ9i9zhEBFRBLtWA1CeEhABgWkX7AEkIjkwAYxhLU63VIPIZFBWCYgAQRCuGwbKeYBERDR4ShsC2uxwS6uSEhGFCxPAGBbo/UuK10KnkfdpaG8Cw0C5EAwREQ3FtUVg5E0AtWoVDFrWAiQieTABjGGBFUBHp8TLHEnvAiuBciEYIlK66upqzJ49GydOnOjX+ceOHcOUKVNgMpmwcOFCNDY2SsfS09MhCIK0TZ06NURRx446uzKGgAJcCIaI5DOoBLCkpCTYcZAMAj2AWQpPADkElIjCYaht27JlyzBy5EgcOnSoX+d7vV48/vjjmD9/Pj777DPU1dXhpz/9qXTcarXi7NmzaGpqQlNTEw4cODCk+Oi6HkCZh4AC1yWArAVIRGE2qATwC1/4AiZPnoyf/exnuHz5crBjojApj5AewHEjfAlglc3BuRJEFDJDbds2bNgwoOsuXbqEkpISPPPMM8jOzsaSJUtw+PBhAIDT6YTT6URubi6SkpKQlJSEhISEAcdE1zjdHjS1+doQuYeAAtcWguFKoEQUboNKAK9evYof//jHOHXqFO644w5MmzYNmzdvRnl5ebDjoxAKDAHNSlZ2Amg2aDHSrAcAlNSyF5CIQmOobVtaWhqys7P7/Xnx8fH45S9/CaPRCABoaGiAwWAA4Ov90+v1eOyxx2AwGDBr1ixUVlYO+DvRNfX+FUC1agF6rfwzYKRi8BwCSkRhNqhfQKPRiK997WvYsWMH6urq8L3vfQ///u//juzsbOTn56OoqCjYcVIIRMocQIALwRBR6IW7bRs5ciSeeuopAIDNZsMrr7yCJUuWAPAlgA6HA3PnzsWZM2egUqmwdu3aHt/L6XTCbrd32qizQAmI4Yl6CIIgczScA0hE8hn0I7DS0lL87Gc/w4wZM/Av//IvmDt3Ll5//XV897vfxde+9rU+rx/oRPm9e/di3LhxMBqNWLRoEdra2vp1jLrn9YrSsJPISAC5EAwRhd5Q27bBaG1txQMPPIDJkydjxYoVAIDc3FxUVVVh5cqVyMnJwYoVK7B///4e32Pjxo0wm83SlpWVFZJYI1lgAZhhiTqZI/GRegA5BJSIwmxQCeDtt9+OL3zhC/joo4+wevVq1NXV4U9/+hO+/vWvY86cORg2bFiv1w90orzVasWjjz6KNWvW4PTp07BYLNiwYUOfx6hn9S1OON1eqFUCMpL0cofTJy4EQ0ShNtS2bTDa2tpwzz33ID4+Hq+//jpUKl+zrNVqkZGRIZ2XnJzca69eQUEBbDabtHFKRleBBWBGmJSRAAZ6ABtaO9De4ZE5GiKKJYNKAH/wgx+gtrYWu3btwmOPPSbNXwCAMWPG4OTJk71eP9CJ8rt27cKoUaOwfPlyZGdn4+mnn8aOHTv6PEY9Cwz/zDDroVXLPxeiJ1v2lWDLvhJ8fNm3NPrJChs2/+28zFERUTQaats2GCtXroTRaMQ777wDvf7aw7itW7fi7rvvlvbLysp6nV+o0+lgMpk6bdRZoAdweKIyHnrqNCok6gLDQDlyiYjCZ1D/8l+8eDESExM7vSaKIjye/j3BGuhE+SNHjmDGjBnS/vTp01FWVoby8vJej1HPyhoiZ/4fAKQY46ASgA63Fy1Ot9zhEFEUGmrb1hO73Q6Xq+sKxidPnsTbb7+NF198Ee3t7bBarbBarQCAOXPmoKioCIWFhTh//jxeeOEFLF26dEhxxLpau68HcLhChoAKgoDMZN+iP1wJlIjCaVAJ4MqVK+F0Oju99v777+OWW24JSlA3qqmpQVpamrSfmpoKAKitre31WHc4Ud4nkhaAAQC1SkByfBwA4GpLh8zREFE0ClXbNmnSJOzevbvL62+//TZsNhvGjRuH5ORkaQOAiRMnYvv27Vi1ahXy8/Mxb948rF69ekhxxLrAIjAjTMroAQSAzCRfAsiFYIgonAaVAL700ktdGsmJEyeGdIlqURS7/Dmwildvx27EifI+5U2RUQT+eqkJvgSwocXZx5lERAMXrLZNFEXk5eVJ+xaLBQ899FCX89atWwdRFLtsAUuXLsWVK1dQV1eHLVu2QKvVDigO6iyQAA5TyBxAAFIPIBeCIaJwGlAl1P/7v/8D4GvcXnvtNcTHx0v777//PqZMmRL8CAFkZGSgvr5e2m9oaAAApKen93qsOwUFBVizZo20b7fbYzIJjJQi8NdLTdABtS242soeQCIKHrnaNgqvOoUNAQWAURwCSkQyGFAC+OqrrwLw9a794Q9/gEbju1ylUuGmm27CH//4x+BHCCA/Px8bN26U9o8ePYrs7GxkZmb2eqw7Op0OOp1yfvzlIhWBj6AEMM3IHkAiCj652jYKH5fHiwb/w0NlDQH1tcEcAkpE4TSgBDBQg0ilUmH37t1BX2XMbrfDYDB0GeaycOFCPPnkk9i2bRvuvfdebNq0CYsXL+7zGHXP4fKg1r8aWiT1AKYl+BL3xtYOuDxeRa9eSkSRI9RtG8nvqv/BoUYlIMU/n1wJOASUiOQwqH9BL1u2LCS9aD1NlDebzdi5cyc2b96MCRMmICcnBwUFBX0eo+5V+Of/Jeg0SI6PnDkliXoN4tQqeEXg8tVWucMhoigTqraN5PfLfaUAAL1WjRf+XipzNNcEFoGpbXagw+2VORoiihUD6gEM2LZtW1A+/PrJ7oBvonxP5s+fj9LS7n+0eztGXZU3+p40ZqXE97hYjhIJgoDUhDhU2xw4V9OMcSMS+76IiKifgtW2kfK0dvjKBxl1apkj6SwtIQ46jQpOtxc1NgdGp0bOqBwiilwcQxeDrpWAMMgcycCl+ucBnq+JzfIdREQ0cK3++rHGuEE99w6ZzrUAWQyeiMKDCWAMkhaASY68J42BeYDna5pljoSIiCJFq9MDADDqlJUAAteGgVZwIRgiCpN+J4BqtVoqmq5SqaBWqzttgddI+aQewAgcahKoBXiOCSARBQHbttggDQGNU95/y1FcCIaIwqzfj8IuXbokrYx2+fLlkAVEoVcegSUgAgI9gBVN7WhxupGgwKe5RBQ52LbFBmkIqALbjEAPIEtBEFG49PuXcMyYMd3+mSKLKIoRWQQ+QK9Vw6hTo9XpwfmaZtwxJlnukIgogrFtiw2tHcodAjrKPx2DcwCJKFw4BzDGNLZ2oLXDA0G49tQx0qQZOQ+QiIj679oiMMoaArplXwk+uHAVAHCmioubEVF4MAGMMYH5fyMS9dBrldUQ9ldgHiBXAiUior64PV60KbgH0KT3xdTidMPjFfs4m4ho6AaVAH788ceYNm0aAGDv3r1ITk5GUlIS3n777WDGRiFQFsHDPwMC8wC5EAwRBRPbtujU0NoBABAAGBTWAwj4klKVAHhFoK7ZIXc4RBQDBvUobNmyZXj44YcBAD/+8Y+xceNGiKKIf/u3f8NDDz0UzPgoyF7/uBwA0Ox0Ycu+EpmjGRypB7C2GaIoRlQxeyJSLrZt0anO7gQAxMepoVJge6ESBCToNLA73KhsakeGOTKnZxBR5BhUD2BJSQm+973vwWaz4cKFC1i2bBkefPBBVFVVBTs+CjJbuwsAYNZrZY5k8FLi46BWCbC2uVDX7JQ7HCKKEmzbolOt3derpsThnwEmf5tcwVIQRBQGg/o1nDhxIjZt2oSOjg7MnDkTbrcbr732Gm699dZgx0dBJiWA8ZGbAGrUKmSnxuNifSvO1TRjhEkvd0hEFAXYtkWnwINCRSeABi1gbZemaRARhdKgegBffvllfPjhhzh9+jR+8YtfoKioCFu2bMGWLVuCHR8FWSABTDLEyRzJ0Nya7qvbxYVgiChY2LZFJ6kHUIHz/wLMBt9DWSaARBQOg3oclpeXh6KiImn/lltu4RCZCOBwedDiXwo70NhEqlvSE7H782ouBENEQcO2LTpFQg8gE0AiCqdB/xp2dHSgtrYWoth5yeLRo0cPOSgKjUDDEqdWQa+N7AogJbW+xO9w6dVOi9ms/vI4uUIioijAti361DcHegAjIAFsYAJIRKE3qCxg69atMJlMGDNmDLKzs6UtJycn2PFREF3xNyzmeG3Er5yZavQNYW1s7YCXdZOIKAiC0bZVV1dj9uzZOHHiRL/O37t3L8aNGwej0YhFixahra2tX8eo/2rtgR5A5Q8BrbE74HB5ZI6GiKLdoBLAn/70p/iv//ovOJ1OeL1eafN4+KOlZFcaWgEASRE+/BPwNZZatQCPV4TVP6+RiGgohtq2LVu2DCNHjsShQ4f6db7VasWjjz6KNWvW4PTp07BYLNiwYUOfx2hgArX1lDwEVK9VIU7t+ydZRRMTfSIKrUElgImJibj77ruh1UZ+IhFLAkNAI33+HwAIgoAUfy9gQwtLQRDR0A21bduwYQMuX77c7/N37dqFUaNGYfny5cjOzsbTTz+NHTt29HmM+s/jFXG1xVcIXslDQAVBgMngi4/zAIko1AaVAP73f/83vv/97+PMmTPBjodCyNIQPQkgAKQl6ABAatyJiIZiqG1bWloasrOz+33+kSNHMGPGDGl/+vTpKCsrQ3l5ea/HqP8aWp3w+KcJxCt4FVCA8wCJKHwG9TjsySefRENDA26//XYkJyfDZDJJxy5duhS04Ci4yvxDQKMlAQzMA2xoZQ8gEQ1duNu2mpoa3H777dJ+amoqAKC2trbXY1lZWV3ey+l0wum89ltot7NEDgDU+ef/xcepoVIpe+57oG2+wh5AIgqxQSWAv/3tb4McBoWa2+NFRVM7ACApgovAX489gEQUTHK0bdevNhr4c2CRrt6O3Wjjxo147rnnQhVmxIqE+X8BgQSwnAkgEYXYoH4RZ8+e3Wnf7XZDo1H+j2ssq7Y54PaKUKsEJERAQ9gfqQm+HkBbuwsujxdadWSXtiAieYW7bcvIyEB9fb2039DQAABIT0/v9Vh3CgoKsGbNGmnfbrd321MYawI9gEouAh/AWoBEFC6D+hfzpUuXMHfuXBiNRpSVleHJJ59Efn4+ysrKgh0fBUmgBIRJr4n4EhAB8XEaaU5HA3sBiWiIwt225efndyo8f/ToUWRnZyMzM7PXY93R6XQwmUydNoqMIvAB1yeAN9ahJCIKpkElgN/5znfwxS9+UVopbf369Zg4cSK++93vBjU4Ch5LlM3/Cwj0Al7lPEAiGqJQtW12ux0uV9dyNQsXLkR1dTW2bdsGi8WCTZs2YfHixX0eo/6rtSu/CHxAol4LlQA4XF7UN7NNI6LQGVQCWFxcjJUrV0o9SWlpaXjmmWdw9OjRoAZHwRMYUpIUHydzJMGVZvTNA2QPIBENVajatkmTJmH37t1dXjebzdi5cyc2b96MCRMmICcnBwUFBX0eo/671gOo/CGgapWAkUkGAFwIhohCa1CPxMaPH4/PP/8cgiBIDeXvfvc7jB8/PqjBUfBcifYeQNYCJKIhClbbduPwPYvF0uO58+fPR2lp6YCPUf/U2SNnERgAGJ0Sj4qmdpQ1tOGL2Slyh0NEUWpQv4gvvvgivva1r6G5uRmLFy9GRUUF7HY79uzZE+z4KEiuRFkNwIDASqANLR2cM0FEQ8K2LfrU+BPASFn8zN7uGyq889NylDW2YfWXx8kcERFFowH/IlqtVjQ3N+P555+H2+1GZWUl0tPT8cADDyApKalf71FcXIx//Md/xPnz55Gfn48dO3Zg+PDhPZ5/4MAB3HXXXZ1eGzNmjPRUNT09HbW1tdKxO+64A59++ulAv1rUEkXxuiGg0ZUApvhrAba7PGjr8MgcDRFFqmC0baQsbs+1uXSRkgCa/A9pbe1d54wSEQVLv38RXS4XVq1ahd/97ncAfHMjBEHA1atXoVKp8Pnnn+P555/v8328Xi8eeeQRfPOb30RhYSFWrVqF1atX4w9/+EOP18ycORNNTU3S/tatW1FYWCjtW61WnD17VloemyUpOqtvcaKtwwOVAJj00ZUAatUqJBm0sLa7OAyUiAYsWG0bKc/Vlg54Rd/cOkMElIEAgCQmgEQUBv3OlH7yk59gz549KCwsxN133w212vdj6vV6ceDAAXz7299GamoqfvCDH/T6PgcPHkRjYyOeffZZaDQarFu3DjNnzkRrayuMRmP3QWo0nZ7AHjhwAAsWLAAAOJ1OOJ1O5ObmIi4uuhY4CZYy//DPDLMBalV0lIC4XmpCHKztLjS0ciEYIhqYYLVtpDyB4Z/DE3VQRUj5I/YAElE49HsV0Ndffx3btm3Dl7/8ZamBBACVSoW7774bW7duxa9//es+3+fIkSOYNm2a1EuXl5cHj8eD4uLifsXR0tKCQ4cO4b777gPg6/3T6/V47LHHYDAYMGvWLFRWVvb3a8WEwPy/ManxMkcSGoF5gOwBJKKBClbbRspTY/MlgCNMepkj6b/APP22Dg9cHq/M0RBRtOp3AlhVVYU777yzx+PTpk3DlStX+nyfmpoapKWlXQtApUJycnKnOXy9ee+992A2mzF16lQAvgTQ4XBg7ty5OHPmDFQqFdauXdvj9U6nE3a7vdMW7QIrgI5J7b6HNdIFVgJlKQgiGqhgtW2kPIEagOkRlADqtWroNL5/mrEXkIhCpd9DQD0eD+bOndvpCen13G43vN7+Pa26cbVGURSlJbf7smfPHixYsEA6Pzc3F1VVVcjIyAAArFixAk899VSP12/cuBHPPfdcvz4rWgTqCY1JjUd7FC6UIq0E2toBj1eMymGuRBQawWzbSFkCQ0DTzZGTAAK+XsC6Zqe0IigRUbD1OwF89dVXg/KBGRkZOHv2rLTv8XhgtVqlBVz68u6773aakK/VaqXkDwCSk5N77dUrKCjAmjVrpH273Y6srKyBfIWIIw0BTYnHuZpmmaMJPrNBC41KgNsr4kpDK3KHJcgdEhFFiGC1baQ8tdcNAXW4IufhZyABtDIBJKIQ6XcC+MQTTwTlA/Pz8/Hzn/8cbrcbGo0Gx48fh0ajweTJk/u89uTJk6iqqsI999wjvbZ161a8+eabeP/99wEAZWVlyM7O7vE9dDoddDrdkL9HJAmUgBidGp0JoEoQkGKMQ12zE+drmpkAElG/BattI+W51gOog+Vqm8zR9F9gHqCtjQkgEYVGv+cABsvMmTMxbNgwrFu3DhUVFVi/fj0efvhhxMfHw263w+Xq+Qdvz549mD59OlJSUqTX5syZg6KiIhQWFuL8+fN44YUXsHTp0jB8k8hgd7jQ6F8dM1rnAALXhoFGY4JLREQDF0gAI2kRGOBavV72ABJRqIQ9AVSpVHjjjTdQWFiIsWPHwuFwYPPmzQCASZMmYffu3T1eu2fPHmn1z4CJEydi+/btWLVqFfLz8zFv3jysXr06pN8hEmzZV4It+0qwcbdvuK1Bq8avD12SOarQCSwEc54JIBER4doQ0EhaBAYAkuN97VlTGxc2I6LQkKVi+pQpU3Dy5Mkur1ssll6vO3z4cLevL126lL1+PQisIhZ4ohitAj2A52uZABIRxbpmhwut/kXPIm0RmEAC2Oxww+HyQK+NjCL2RBQ5wt4DSOEVGEISmFMQrVKNvgbT0tAalSudEhFR/wVKQCTqNYiPk+VZ96DptSqpFITFX8aJiCiYmABGOVuMJIBGnQYGrRqiCJTWsReQiCiW1dicACJv+CcACIIg9QJermcCSETBxwQwygVWEUuK8gQQuDYPkAvBEBHFtkitARgQmLZx6SoTQCIKPiaAUc4qzQGMkzmS0JPmATIBJCKKabURugJoQKAH8BJ7AIkoBJgARjGXx4sWpxsAYI7yRWAArgRKREQ+NRG6AmhAsr/Nvny1ReZIiCgaMQGMYoH5fzqNCoYYWEUszchagEREBFT7E8ARETsE1D8HkENAiSgEmABGMWtbbJSACEhNiIMgAFdbnGhoccodDhERyaTS2g4AGJVkkDmSwQm0201tLjS1sh4gEQUXE8AoZvUXkU0yRP/8PwDQqlUYnRIPgMNAiYhiWWVTGwAgMzkyE0CtWoUEna98xWWWgiCiIGMCGMWsMVIE/nq3jEgEwGGgRBR+xcXFyMvLg8FgwPz581FXV9fr+QcOHIAgCJ227Oxs6Xh6enqnY1OnTg3xN4gOzQ4X7A7f/PfMCO0BBK7NA+RCMEQUbEwAo1isDQEFgFvTfQkgewCJKJy8Xi8eeeQR3H///SgtLYXBYMDq1at7vWbmzJloamqStv/4j/9ARkaGdNxqteLs2bPS8QMHDoT4W0SHwPDPpHgtjLrIKgJ/vcBKoBfquBAMEQVX5P4yUp+s7bE1BBQAbkk3AQDO1thljoSIYsnBgwfR2NiIZ599FhqNBuvWrcPMmTPR2toKo9HY7TUajQZJSUnS/oEDB7BgwQIAgNPphNPpRG5uLuLiYuc3PBi27r8AwDeMcsu+EpmjGbwU/8rWpbV8oElEwcUewCjl8njR6vQAiK0ewNsyfQnguepmdLi9MkdDRLHiyJEjmDZtGjQa33PVvLw8eDweFBcX9+v6lpYWHDp0CPfddx8AX++fXq/HY489BoPBgFmzZqGysjJk8UeT5nbf8E+TPrKfcacafQlgSR0TQCIKLiaAUSow/FOvUUEfAyUgAkanxMOk16DD40UJn5oSUZjU1NQgLS1N2lepVEhOTkZtbW2/rn/vvfdgNpuleX5WqxUOhwNz587FmTNnoFKpsHbt2h6vdzqdsNvtnbZY1eyf/5eoj+yHn6n+0kblje1o63DLHA0RRRMmgFFKGv4ZH1tDhwRBwG2ZZgDAqUqbzNEQUSwRRbHLviAI/bp2z549WLBggXR+bm4uqqqqsHLlSuTk5GDFihXYv39/j9dv3LgRZrNZ2rKysgb/RSKc3eF7AJoY4T2Ahjg10hI4D5CIgo8JYJSKxQVgAm73J4CfMwEkojDJyMhAfX29tO/xeGC1WpGent6v6999913ce++90r5Wq+20IExycnKvvXoFBQWw2WzSVl5ePohvER0CPYCmCO8BBICbh/sWNiupZQJIRMHDBDBKBRJAsyHyG8CBun0UewCJKLzy8/PxySefwO32JR/Hjx+HRqPB5MmT+7z25MmTqKqqwj333CO9tnXrVtx9993SfllZWacSETfS6XQwmUydtlgVLT2AADBuRAIALgRDRMHFBDBKXRsCGoMJoL8H8GxNM1weLgRDRKE3c+ZMDBs2DOvWrUNFRQXWr1+Phx9+GPHx8bDb7XC5XD1eu2fPHkyfPh0pKSnSa3PmzEFRUREKCwtx/vx5vPDCC1i6dGkYvklkc7g8aOvwLYAWDQngzf7atueZABJREDEBjFI2aQhobM0BBK5bCMbNhWCIKDxUKhXeeOMNFBYWYuzYsXA4HNi8eTMAYNKkSdi9e3eP1+7Zs0da/TNg4sSJ2L59O1atWoX8/HzMmzevz7qCBFTbHAAAjUqAIQoWQBvnTwBLOQSUiIIo8h+PURetTjda/U9Ak2JwCGhgIZiiiw04VWnDxJFmuUMiohgwZcoUnDx5ssvrFoul1+sOHz7c7etLly5lr98AVfmLwCfqNf1egEfJAkNAK63taHG6kRDBhe2JSDnYAxiFLA2tAAC9NrZKQADAln0l2LKvBE6Xb+jnjqNlMkdEREThUtnkSwCjYQEYwDeKZ1iirxwE5wESUbAwAYxClqttAIAkQ+wN/wwYbvI1mHXNDpkjISKicKm4rgcwWlxbCIbDQIkoOJgARqFAD2AsLgATMNz/xPRqSwcXgiEiihEVjb4HoKYomf6wZV8JWh2+KR1//IQjWogoOJgARiHLVX8CGCUN4GCYDVrEaVTweEU+NSUiihFl/gQwmkogpfiLwTe2dMgcCRFFCyaAUehaD2DsDgEVBAEj/L2AJ8qt8gZDRERhcSUKE8BUo68tb2hlAkhEwcEEMApdDswBjOEhoACQbtYDAIrLmmSOhIiIQq29w4P6ZieA6EwAW5xuqcQTEdFQyJIAFhcXIy8vDwaDAfPnz0ddXV2f16Snp0MQBGmbOnWqdGzv3r0YN24cjEYjFi1ahLa2tlCGr2jNDheutvgawFgeAgoAGWYDACaARESxoLzJ1/brNNG1ArZOq5YWtTlXY5c5GiKKBmFPAL1eLx555BHcf//9KC0thcFg6FdxW6vVirNnz6KpqQlNTU04cOCA9Pqjjz6KNWvW4PTp07BYLNiwYUOIv4VyXWnwNYAGrRq6KGoAByPQA3ipvhXWNg6dISKKZoH2L5p6/wLSEnxTGs7VsBQEEQ1d2BPAgwcPorGxEc8++yxGjRqFdevWYdeuXWhtbe3xGqfTCafTidzcXCQlJSEpKQkJCb5lkXft2oVRo0Zh+fLlyM7OxtNPP40dO3aE6+soDlcAvcagVUv34XiZVd5giIgopMqibAXQ66X5F4JhDyARBUPYE8AjR45g2rRp0Gh8wxny8vLg8XhQXFzc4zVWqxV6vR6PPfYYDAYDZs2ahcrKSun9ZsyYIZ07ffp0lJWVoby8PLRfRKG4AmhnGZwHSEQUE8r8D0CjuQfwbDV7AIlo6MKeANbU1CAtLe1aACoVkpOTUVtb2+M1VqsVDocDc+fOxZkzZ6BSqbB27dpu3y81NRUAenw/p9MJu93eaYsmgQVgzOwBBABkmDgPkIgoFkRjCYiAQAJ4vqYZXq8oczREFOlkWQRGFMUu+4Ig9Hh+bm4uqqqqsHLlSuTk5GDFihXYv39/t+8X+HNP77dx40aYzWZpy8rKGspXUZwrgSGghtgtAXG9wDzAE2VWuFkQnogoakVzAphk0EKtEtDu8kilLoiIBivsCWBGRgbq6+ulfY/HA6vVivT09B6v0Wq1yMjIkPaTk5Olnrsb36+hoQEAeny/goIC2Gw2aYu2oaKcA9hZWkIczAYtWjs8OFUVXb29RETk4/WKKG9qBxCdCaBKJUjlIM5Vsy0joqEJewKYn5+PTz75BG63GwBw/PhxaDQaTJ48ucdrtm7dirvvvlvaLysrQ3Z2tvR+RUVF0rGjR48iOzsbmZmZ3b6XTqeDyWTqtEULW5sLV1t8q10mx3AR+OsJgoBpOSkAgA8vNsgcDRERhUJtswMdbi80KgGJOo3c4YSENA+QK4ES0RCFPQGcOXMmhg0bhnXr1qGiogLr16/Hww8/jPj4eNjtdrhcXYuczpkzB0VFRSgsLMT58+fxwgsvYOnSpQCAhQsXorq6Gtu2bYPFYsGmTZuwePHiMH8rZbh4tQUAMMKkQ5xGltG9inRnrm9e6NFLTACJiKJRmb8ERGayASpVz1NKIpm0Eih7AIloiMKeJahUKrzxxhsoLCzE2LFj4XA4sHnzZgDApEmTsHv37i7XTJw4Edu3b8eqVauQn5+PefPmSbUDzWYzdu7cic2bN2PChAnIyclBQUFBWL+TUlyq9w3/vGlYgsyRKMs/+BPATyyNcHEeIBFRVNmyrwS/PnwJACBG8foorAVIRMEiyziJKVOm4OTJk11et1gsPV6zdOlSqdfvRvPnz0dpaWmQootcF+t9PYC5w4wyR6Ist6YnIileC2ubC59X2jBldLLcIRERURDZ233TSkyG6Bz+CVxLAMsa29DidCMhSoe6ElHocZxgFLkUSADT2AN4PZVKwHTOAyQiilq2dt/0kWheAdsQp8YI07VyEEREg8UEMIpIQ0CHMwG8UWAe4KGS+j7OJCKiSBNIAKO5BxAAbk33LVx3lvMAiWgImABGCbfHK5WAyE3jENAb3X3rCADAp1eaYG3rkDkaIopGxcXFyMvLg8FgwPz581FXV9fnNenp6RAEQdqmTp0qHdu7dy/GjRsHo9GIRYsWoa2N9d96EkgAo7EExPVuzUgEAJyrYQJIRIPHBDBKVDS1w+URodOokJlkkDscxRmdGo9xIxLg8Yo4cJ69gEQUXF6vF4888gjuv/9+lJaWwmAwSIuV9cZqteLs2bNoampCU1MTDhw4IL3+6KOPYs2aNTh9+jQsFgs2bNgQ4m8RmTrcXrS7PACiPwEc7+8BPFfNIaBENHhMAKPEJX8JiJw0Y9QugT1U88b7egHfO1srcyREFG0OHjyIxsZGPPvssxg1ahTWrVuHXbt2obW1tcdrnE4nnE4ncnNzkZSUhKSkJCQk+Ibw79q1C6NGjcLy5cuRnZ2Np59+Gjt27AjX14kogd4/vVYFnUYtczShda0HsBliNC95SkQhxQQwSlys4/y/vsz1J4AHz9ejw81yEEQUPEeOHMG0adOg0fjmoOXl5cHj8aC4uLjHa6xWK/R6PR577DEYDAbMmjULlZWV0vvNmDFDOnf69OkoKytDeXl5aL9IBIqV4Z+Ar8yTVi2gxelGRVO73OEQUYRiAhgFtuwrwTsnfP9oqLc7sWVficwRKVNeVhJSjXFodrpZFJ6IgqqmpgZpaWnSvkqlQnJyMmprex5xYLVa4XA4MHfuXJw5cwYqlQpr167t9v1SU30LWfX0fk6nE3a7vdMWK2IpAdSqVRg7/FovIBHRYDABjBKN/oVNko3R3wAOllolYMFt6QCAt4orZI6GiKLNjUPyRFGEIPQ8JD83NxdVVVVYuXIlcnJysGLFCuzfv7/b9wv8uaf327hxI8xms7RlZWUN5atElFhKAAFgfLovAeRKoEQ0WEwAo0RTq68BTI6P3hpIwfC1O0YBAN49VQO7wyVzNEQULTIyMlBff22BKY/HA6vVivT09B6v0Wq1yMjIkPaTk5Olnrsb36+hwTdqoaf3KygogM1mk7ZYGip6rQREbCSAXAmUiIaKCWAUcLg80gpoTAB7l5eVhLHDE+B0e1F4slrucIgoSuTn5+OTTz6B2+0GABw/fhwajQaTJ0/u8ZqtW7fi7rvvlvbLysqQnZ0tvV9RUZF07OjRo8jOzkZmZma376XT6WAymTptseJaEfgYSQD9K4GeqWICSESDwwQwCjT5h38m6DSI0/A/aW8EQcDX/b2Av/p7KbbsK+m0ERENxsyZMzFs2DCsW7cOFRUVWL9+PR5++GHEx8fDbrfD5eo64mDOnDkoKipCYWEhzp8/jxdeeAFLly4FACxcuBDV1dXYtm0bLBYLNm3ahMWLF4f5Wylfh9sLeyABjJEHoLdnmgEAloY22No4koWIBo7ZQhRoags0frHx9HOgbkzy6pudUAlAjd2BGptD7vCIKAqoVCq88cYbKCwsxNixY+FwOLB582YAwKRJk7B79+4u10ycOBHbt2/HqlWrkJ+fj3nz5km1A81mM3bu3InNmzdjwoQJyMnJQUFBQVi/UyQob2qDCECrFmCMi+4SEICvPfttkUWa7/hZpVXegIgoImnkDoCGrrHV1wOYYoyNp59DZdRpcMuIRJytacaxsiZ85faMvi8iIurDlClTcPLkyS6vWyyWHq9ZunSp1Ot3o/nz56O0tDRI0UUny1VfCSSzQdvrgjvRZkSiDrZ2Fz6rsCH/5mFyh0NEEYY9gFGgocUJAEhlAthvU8YkAwAu1rXA6h9CS0REkeWyPwGMleGfASNMegDAyXKrvIEQUURiAhgFGvw9gKkJOpkjiRxpCTqMSY2HCKC4zCp3OERENAiWBn8CGCMLwAQEEsDPKmwyR0JEkYgJYIRrdrjQ7PCtOscewIG5Y7SvF/BMtR2tTrfM0RAR0UBdaWgDEHtz4Icl6iCAc9mJaHCYAEa4ktoWAL4VQPXa6J8AH0yjkg1IN+nh8Yo4wWE0REQRRxoCaoitB6BxGhWGJfpG/XxsaZQ5GiKKNEwAI1xJbTMA9v4NhiAImJrt6wX8rMIGp9sjc0RERNRfTrcHVdZ2ALHXAwgAI5MMAICPLzfIHAkRRRomgBHufI0/AUxgAjgYuWlGpBjj0OHxci4FEVEEKW9sg1f0lYCIj4ESEDfK9CeAH11iDyARDQwTwAh3rQeQC8AMhiAImOpfEfR4mRUOF3sBiYgiweWrgfl/cTFVAiIgkACW1rVIq4ETEfUHE8AIJyWA7AEctHEjEpGo16Dd5cFfTlbJHQ4REfWD5WpsrgAaYIhTY9yIBADAx5fZC0hE/ccEMIJdbXHiaguLwA+VWiXg9kwzAGDH0SsyR0NERP1xOVACIgbn/wXMuCkNAHCwpF7mSIgokjABjGCnq+wAfI2fVs3/lEMxcaQJakHAyQobC+sSEUWAS/W+VbCTY6wI/PXuunU4AGD/+TqIoihzNEQUKZg1RLBTlb5FS4Yncv7fUMXHaTDWP5SGvYBERMp3oc6XAMbyCJjpOSkwaNWotTulh8JERH1hAhjBTlcFEkC9zJFEh0n+YaB/PlkFa1uHzNEQEVFPmlo7OAUCgF6rxpfG+oaB7j9XJ3M0RBQpmABGsM/ZAxhUGWY9xmeY4HR78canFXKHQ0REPbjgH/6ZmWSI6SkQW/aVSEM//+/oFWzZVyJzREQUCWT51SwuLkZeXh4MBgPmz5+Purq+n1odO3YMU6ZMgclkwsKFC9HYeG3Fq/T0dAiCIG1Tp04NZfiKYGtzobzRVwB3GBPAoBAEAUv+YQwA4A8fXYHXy/kURERKVFrrSwBv9g/dj2U3DU+ASgDqm51oauXoFSLqW9gTQK/Xi0ceeQT3338/SktLYTAYsHr16j6vefzxxzF//nx89tlnqKurw09/+lPpuNVqxdmzZ9HU1ISmpiYcOHAgxN9CfoHhn1kpBui1sVcAN1QW5o1Eok4DS0MbPrhwVe5wiIioG6V1vhJIY4cxATRo1RidEg/gWmkoIqLehD0BPHjwIBobG/Hss89i1KhRWLduHXbt2oXW1tYer7l06RJKSkrwzDPPIDs7G0uWLMHhw4cBAE6nE06nE7m5uUhKSkJSUhISEqK/QTjlTwBvG2mWOZLoYtRp8MgdowAAv+diMEREihRYAIY9gD7jRiQCAM7XNnM1UCLqU9gTwCNHjmDatGnQaDQAgLy8PHg8HhQXF/d4TXx8PH75y1/CaDQCABoaGmAwGAD4ev/0ej0ee+wxGAwGzJo1C5WVlaH/IjI7Velb7eu2TCaAwbbYPwz072drUWltlzkaIiK6UWAI6NjhiTJHogy5w4zQqAQ0tblQXNYkdzhEpHBhTwBramqQlpZ2LQCVCsnJyaitre3xmpEjR+Kpp54CANhsNrzyyitYsmQJAF8C6HA4MHfuXJw5cwYqlQpr167t8b2cTifsdnunLRKdrLACYAIYCmOHJ2DGTanwisAfPyqTOxwiIrpOU2sHauwOAMA49gACAHQatdQL+MePy2WOhoiUTpZFYG4cniCKIgRB6PO61tZWPPDAA5g8eTJWrFgBAMjNzUVVVRVWrlyJnJwcrFixAvv37+/xPTZu3Aiz2SxtWVlZQ/syMqhrduBKQxsEAZg8OknucKJSYDGY1z8pQ4fbK3M0REQUcKba9+B2TGo8EvVamaNRjokjTQCAws+qYHe4ZI6GiJQs7AlgRkYG6uvrpX2PxwOr1Yr09PRer2tra8M999yD+Ph4vP7661CpfKFrtVpkZGRI5yUnJ/faq1dQUACbzSZt5eWR96TsmMU3vOOWEYkwsfELiXkTRiDdpMfVlg68VcySEETUN65wHR5n/AXPJ2SYZI5EWTLMeqQY4+BwefHOiSq5wyEiBQt7Apifn49PPvkEbrcbAHD8+HFoNBpMnjy51+tWrlwJo9GId955B3r9tcLnW7duxd133y3tl5WVITs7u8f30el0MJlMnbZI8+kVXwJ4x5hkmSOJXlq1Ct+blQsAeHH/BfYCElGvuMJ1+AR6AJkAdiYIgtQL+NpHZVwMhoh6pAn3B86cORPDhg3DunXrsGLFCqxfvx4PP/ww4uPjYbfbYTAYoNV27tU6efIk3n77bXzyySdob29He7tvYY6kpCTMmTMH//qv/4rCwkLcfPPNeOGFF7B06dJwf62wCiSAU7OZAAbb9UV03R4v4uPUqGhqx1vFFVg0bbSMkRGRkl2/wrVGo8G6deswc+ZMtLa2SguY3ej6Fa6NRiOWLFmCl156CUDnFa7j4uLC+VUU71CJbxRRSV0zC5/fYHyGCR9fbsTZajs+vdKEL2anyB0SESlQ2HsAVSoV3njjDRQWFmLs2LFwOBzYvHkzAGDSpEnYvXt3l2vefvtt2Gw2jBs3DsnJydIGABMnTsT27duxatUq5OfnY968eX0+dY1k7R0enK70lYCYOoY/7KGkUasw1d/L+qu/l6Ktwy1zRESkVFzhOjwcLg8a23zFzocn6Ps4O/YYtGp8dXImAOC3RyzyBkNEiiXLIjBTpkzByZMn4XA48Le//Q3Dhg0DAFgsFjz00ENdzl+3bh1EUeyyBSxduhRXrlxBXV0dtmzZ0qUHMZqcrLDC7RUxwqTDqGSD3OFEvdszzUjUa1Blc+C/378gdzhEpFBc4To8ztU0QxQBvVYFo04tdziKpPIvqrfnVDXW/+W0zNEQkRLJkgDS4H182bdAwNQxKf1aOZWGRqNWYc443wOKXx+6hNLaZpkjIiKl4grXoXfcX+Mu3aRnG9iDYYk6ZCYZIIrA5/4RQ0RE12MCGGEOl/rmPswYmypzJLEjd1gC5o0fAbdXxA/f+hweLyfWE1FnXOE6PI6XWQEA6WYO/+xNXlYSAOBUpR0Ol0feYIhIcZgARhC7w4Vif+M36+Zh8gYTY7JSDIhTq3DsShOWvvoxFx4gok64wnV4FPt7ADPMnALRm9w0IxJ0GrS7PPjLSZaEIKLOmABGkKILDfB4ReSmGZGVEi93ODHFpNci/2bf/J4PLzagyb8IARER0HmF64qKii4rXLtcXQtzB1a4fvHFF9He3g6r1Qqr1QoAmDNnDoqKilBYWIjz58/HxArXfalrdqCiybcK+AiTTuZolE2lEvCFUWYAwG+LLCwJQUSdMAGMIC/uLwUAJOo12LKvRNooPCaONCErxQC3V8R7Z2rh5VBQIvLjCtehFxj+mWqMg07DBWD6MjHTDLVKwOkqu1Q+iogIYAIYMURRRFlDGwBgTGr3NaUotARBwLxbR0CrFlBlc+B3H1rkDomIFIQrXIfWpxbfImgZnP/XLwatGremJwIA/veDyzJHQ0RKwgQwQlysb4Hd4YZaEFj+QUYmgxYzx/qGgm7aex61dofMERERxYaiiw0AgFHJnALRX4HFYP56ugaWq63yBkNEisEEMELs+bwGgG8xEq2a/9nkdHumGekmPdo6PHj+r+flDoeIKOpZ2zpwptq3CiofgvZfWoIOc24ZBlEEXvngktzhEJFCMJOIEHs+rwYA3Dw8UeZISBAEzPbXBnyzuAInyq3yBkREFOWOXmqEKAI3D0+AUaeRO5yIsmzWTQCANz6tQEOLU+ZoiEgJmABGgIv1LThX0wyVAOQO4/w/JUg36/HwlEwAwHN/Oc0V1oiIQujDi1cBADNuYg3cgfqH3BRMGmWG0+3Fb4sscodDRArABDAC7PnM1/uXlRIPvZYrnynFDxbcivg4NY6XWfHOCdZZIiIKlUOlvgTwzpvSZI4k8giCgJVzfL2A//vBZTS2sowRUaxjAqhwoijiL5/5koubhyfIHA1db4RJj1V3jQUA/Ozdc2jrcMscERFR9LlY34LLV1sRp1Zh5s1MAAdqy74SnKmyY1iiDq0dHmw7cEHukIhIZkwAFa64zIqS2hbotSqMHcYEUGm+MzMHo5INqLE78MLfS+UOh4go6vz9bC0AYHpuChI4/29QBEHAnbm+4bO/K7qCS/UtMkdERHJiAqhwr39cBgD4yu0joePwT8XRa9V49oGJAIDfHL6M8zXNMkdERBRd3jtbBwCYe+twmSOJbNmp8RiTGo8Ojxfr/sy560SxjAmggjU7XCj0z/97bFqWzNFQT+ZNGIH5E0bA7RVR8NZncHu8codERBQV6pudOHalCQAwd/wImaOJbIEVrOPUKhwuvYrX/A+YiSj2MAFUsLePV6Ld5cHY4Qm4Y0yy3OHQDbbsK5G2zGQDtGoBxWVW/IpDQYmIguIvJ6vg8YoYYdLhT8cqsGVfidwhRbTk+Dg8veAWAMD6v5zB6SqbzBERkRyYACqU2+PFy4d9RVsXTx8NQRBkjoh6Y9JrMfdW39Pp/95/AYdK6mWOiIgo8r19ohIAcGu6SeZIooe93YUxqfFwur34xktHUW1rlzskIgozJoAKteq1YpQ3tsOgVaOu2cmnnhHglvRE3DbSBFEEVuw4huNlTXKHREQUsS7UNeOzChsEARg3gougBYsgCFgwMR0p8XFocbrx7Vc/ga3NJXdYRBRGTAAVSBRFfOqf85CXlQStmv+ZIsXsccPwpbGpaO3wYOmrn6CYSSAR0aD85gMLACAn1Yj4OK7+GUx6rRoL80YiPk6NczXNWPybj5gEEsUQZhYK9OeTVWho6YBWLWDSKLPc4dAAaNQqTMpMQoZZD1u7C1/f/iFW7DjGHlwiogGoa3bgzeIKAMCU0ZwDHwomgxZfnZyJFGMcPq+0MQkkiiFMABWm1enGxj3nAABTx6RAz9IPESdOo8JDeZnISTPC4xXx7qka/P1cLdo7PHKHRkQUEV4+eAkdbi8mj07CyCS93OFErbQEHV773nQpCfzmb46iqbVD7rCIKMSYACrM1v0XUGN3wKTXYMroJLnDoUGK06hw/6QMafXWU5V2PPDiB5wXSETUh3M1drxaZAEAPDn3Zi6CFmLvfl6De29Lh0GrxqlKO+76rwOwXG2VOywiCiEmgAryiaURLx3yrfyZf/MwaDj3L6KpBAEzx6bhq5MzER+nxoW6Fnz1f4rwb2+cxNUWp9zhEREpjsPlwQ/+9Bk8XhH3TByBu25h8fdwSEvQ4ZEpmUjUa2Btc+HhbUU4cL5O7rCIKESYYShEY2sH/vm14/B4RTyUNxI3DTPKHRIFyeiUeHxz+mh87Y5RAIA3jlUg/+f78dxfTuNSfYvM0RERKYMoivjq1iM4WWGDTqNCZpKB86fDKDVBh29MzcLwRB0aWzuw9NVP8NN3TqHZwXmBRNFGEEVRlDsIOdntdpjNZthsNphM8tQZsjtcWPLKRzhZYUPuMCP+8k8z8bK/J5CiS7WtHQdL6lFrv9YDOCHDhOm5KZgyOhmTRpmRlRwPlYpDnogGQwm/6UoQaffB4xXxk7dP4Y8fl0EQgIfyMjE6JV7usGKS2+NFa4cHv/UPw001xmHN/HH4xtQsjkwikkEofs9l+T+5uLgYeXl5MBgMmD9/Purq+h5msHfvXowbNw5GoxGLFi1CW1tbv44pXX2zE9/6zcc4WWFDcrwW2xffAaOOy11HqwyzAd+YmoWH8kYiOzUeapWAM9V2vHrEgn/+43HM3nQAE9ftxfT/fA/3vXAY3/rNR1j7xkls2ntO7tCJqA9s2wanqbUD3/7tJ77kD8C88SOY/MlIo1bBbNDiobyRSI7XoqG1Az/edQr3/PIQ3jlRCY83pvsNiKJC2BNAr9eLRx55BPfffz9KS0thMBiwevXqXq+xWq149NFHsWbNGpw+fRoWiwUbNmzo85jSfXSpAXM27ceJciv0GhXuvS0Duz+r5pCXKCcIAsakGrEwLxMf/2guXliUhyfuHIPbM82I06jQ7vKg1u7EmWo7DpVexZ+OVWD7wUt47OWj+OV7JfjwYgMcLq4oSqQkbNsGZ//5Otz/3x/gUEk99FoV7r0tHRMylN9jGQvGpBrxzeljMHvcMCTFa3GxvhVPvX4CC355CG8fr2Q7RBTBwj4EdP/+/XjooYfQ0NAAjUaD4uJizJw5E/X19TAau5/39uqrr+IXv/gFTp8+DQB46623sHr1aly5cqXXY/0h1zCZOrsDM5/fjw63F6nGONx3ewZSjHFh+3xSJq9XhK3dhastTlxt7UBDixNVVgfab2ho49Qq5GUlYXpuCu4Yk4zRKfEYmWRg2RCKeXL9prNt6z9RFPHx5Ub8+vAlvHfW10uanRqP7UvuwLuf18gcHXXH6fbgZLkNxWVNcLq9AACzQYsvTxiBqWOSkZNmRGpCHEx6LYw6DeLj1Fy9lShIQvF7HvaxhkeOHMG0adOg0fg+Oi8vDx6PB8XFxcjPz+/xmhkzZkj706dPR1lZGcrLy3s9lpWVFdovMwTDTXqs+fI4vHO8EnfdOhxajqsnACqVgGRjHJKNcbjZ/5ooimhqc+GW9ER8dLkRH11qQF2zEx9bGvGxpbHT9fFxaiTqNbg13QSTQQuzQQOzQQuTXot4nQbGODXi43yNs1Gnhk6j9n8G4BVF/+b7TBHA7ZlmJpVE/cC2rXftHR4cLKnDkQsNOFxaD0uDbzirSoDvYVZOKpM/BdNp1JiWk4IvZJlxstyGKw2tqLI58KdjFfjTsYou56sEwBinQYJeg2GJOoxKNuC2TDNWzhkrQ/REdKOwJ4A1NTVIS0uT9lUqFZKTk1FbW9vrNbfffru0n5qaCgCora3t9Vh3jaTT6YTTeW0BDpvNBsCXXYfbY3lpaGy0wuNoAwdSUG/iATw4IRkPTkiGKObiSmMbPr3ciE+vNOHIhatocbrh8ohocQItzUB1fXDqDe79l3xkJnMuDkWOwG95uNc3Y9vWuzq7A9//zQfSvkYl4OYRCfjCqCQkx8fB62yDg9VxIsKk4XG4bZgWFU1tqLY5UGN3oNXpRrvLC5fbCxGAF4DNAdjsQGUdcAJAdV0yFk9hWQ+igQpFuybLaiM3fgFRFPscKnD9NYE/B67p7diNNm7ciOeee67L65H4RJViy49k+MwJv5ThQ4mCoKGhAWazOayfybZtYC4D+JvcQVDYlAMwr5E7CqLIFcx2LewJYEZGBs6ePSvtezweWK1WpKen93pNfX29tN/Q0AAASE9P7/VYdwoKCrBmzbVfIKvVijFjxqCsrCzs/1gYKrvdjqysLJSXlytujkdvIjVuIHJjj9S4gciNPVLjBiI7dpvNhtGjRyMlJSWsn8u2LXgi9e9fpMYNRG7skRo3ELmxR2rcQOTGHop2LewJYH5+Pn7+85/D7XZDo9Hg+PHj0Gg0mDx5cq/XbNy4Udo/evQosrOzkZmZ2eux7uh0Ouh0ui6vm83miPrLcD2TyRSRsUdq3EDkxh6pcQORG3ukxg1EduwqVXjnVbNtC75I/fsXqXEDkRt7pMYNRG7skRo3ELmxB7NdC/vKIzNnzsSwYcOwbt06VFRUYP369Xj44YcRHx8Pu90Ol8vV5ZqFCxeiuroa27Ztg8ViwaZNm7B48eI+jxEREYUD2zYiIooUYU8AVSoV3njjDRQWFmLs2LFwOBzYvHkzAGDSpEnYvXt3l2vMZjN27tyJzZs3Y8KECcjJyUFBQUGfx4iIiMKBbRsREUUKWRaBmTJlCk6ePNnldYvF0uM18+fPR2lp6YCP9UWn02HdunXdDp1RukiNPVLjBiI39kiNG4jc2CM1boCxDxbbtuCI1NgjNW4gcmOP1LiByI09UuMGIjf2UMQd9kLwREREREREJA9WHyciIiIiIooRTACJiIiIiIhiBBNAIiIiIiKiGBH1CWBxcTHy8vJgMBgwf/581NXV9XnN3r17MW7cOBiNRixatAhtbW1hiLSrwcSenp4OQRCkberUqWGItKvq6mrMnj0bJ06c6Nf5SrnnwMBjV8o9v3TpEmbPno3ExETMmTMHV65c6fMaJdz3wcStlHt+9uxZ3HnnnUhISEB+fn6/FuxQwj0fTNxKuecAcOjQIQiCgAMHDvR5rhLudyiwbWPbNlBs28KLbRvbtoEKZ9sW1Qmg1+vFI488gvvvvx+lpaUwGAxYvXp1r9dYrVY8+uijWLNmDU6fPg2LxYINGzaEKeJrBhM74Iv/7NmzaGpqQlNTU7/+EgXbsmXLMHLkSBw6dKhf5yvlngMDjx1Qxj0HgO9///sYPXo0Tp06hdTUVKxatarX85Vy3wcaN6Cce/7444/jwQcfRElJCW699VYsX7681/OVcs8HGjegnHvucrmwcuXKfp2rlPsdbGzb2LYNFNs2tm0DwbYt/MLetolR7P333xdNJpPocrlEURTFY8eOiQaDQWxpaenxmv/93/8VJ0yYIO2/+eab4ujRo0Me640GE7vD4RABiE6nM1xhdqu+vl68fPmyCEA8fvx4n+cr5Z6L4sBjV8o9dzqdoiAI4unTp0VRFMXdu3eLJpOp12uUcN8HE7dS7nljY6M4c+ZMKY7du3eL6enpvV6jhHs+mLiVcs9FURR//vOfi3fddZdoNpvF/fv393quEu53KLBtkwfbtvBj2xZ+bNvkEe62Lap7AI8cOYJp06ZBo/GVO8zLy4PH40FxcXGv18yYMUPanz59OsrKylBeXh7yeG+MY6CxW61W6PV6PPbYYzAYDJg1axYqKyvDFbIkLS0N2dnZ/T5fKfccGHjsSrnnLpcLzz//PHJycgAADQ0NMBgMvV6jhPs+mLiVcs+Tk5Nx+PBhxMXFoaOjAzt37sTkyZN7vUYJ93wwcSvlnldUVOBnP/sZtm7d2q/zlXC/Q4FtG9u2gWLbxratv9i2xUbbFtUJYE1NDdLS0qR9lUqF5ORk1NbW9vua1NRUAOj1mlAYTOxWqxUOhwNz587FmTNnoFKpsHbt2nCEOyRKueeDoZR7bjQasXbtWhgMBrhcLvzqV7/CkiVLer1GCfd9MHEr5Z5fLz4+Hu+++y5efPHFXs9Twj2/Xn/jVso9f+qpp7Bs2TKMHz++X+cr7X4HC9s2+f+f7w+l3PPBUMo9Z9vGtm0w2Lb1TTOwECOPeEOde1EUIQhCv68J/Lmva0JhoLHn5uaiqqoKGRkZAIAVK1bgqaeeCmmMwaKUez5QSrvnbrcb3/zmN6FSqbB+/fo+z1fKfR9I3Eq75wDw8ccf48c//jGefPJJFBYW9nquUu450P+4lXDP//rXv+LYsWP4/e9/P6DrlHS/g4ltG9u2UFLaPWfbJg+2baEnV9sW1T2AGRkZqK+vl/Y9Hg+sVivS09P7fU1DQwMA9HpNKAwmdq1WK/0lBnzd4Xa7PaRxBoNS7vlgKOmee71eLFq0CBcuXMC7777b53ATpdz3gcatlHteX1+P48ePAwCmTJmC//zP/8Tu3bths9l6vEYJ93wwcSvhnv+///f/UF1djZEjRyIpKQk2mw33338/XnvttR6vUcL9DgW2bWzbQk1J95xtW3ixbYuNti2qE8D8/Hx88skncLvdAIDjx49Do9H0OiY4Pz8fRUVF0v7Ro0eRnZ2NzMzMkMd7YxwDjX3r1q24++67pf2ysrIBjfmXi1Lu+WAo6Z6vX78eFy5cwPvvv4+UlJQ+z1fKfR9o3Eq558ePH8dXvvIVaT/w5E2l6vlnVQn3fDBxK+Geb9q0CefPn8eJEydw4sQJJCYm4pVXXsGDDz7Y4zVKuN+hwLaNbVuoKemes20LL7Zt2SGLsTuytW0DWjImwng8HjE3N1f80Y9+JJaXl4sPPPCAuHjxYlEURdFms4kdHR1drrFaraLZbBb/53/+R7x8+bI4bdo08Sc/+Um4Qx9U7KdOnRJ1Op34l7/8RTx37px42223iT//+c/DHboEN6w2pvR7fr3+xq6Ue15dXS2aTCaxqKhIbGpqkjaPx6Po+z6YuJVyz5uamsTk5GTxxRdfFMvLy8UlS5aI+fn5oigq++/6YOJWyj2/3vUrpSn5focC2za2bYPFtk25cSvlnrNti422LaoTQFH0LTE9adIkUafTiV/+8pfFuro6URRFccyYMeKuXbu6vWbv3r3i2LFjRYPBIH7jG98QW1tbwxjxNYOJ/dVXXxVHjx4tDhs2TPyXf/mXbv/ihMuNDU0k3POAgcSuhHv+29/+VgTQZbt8+bKi7/tg41bCPRdFUdy/f784adIkMSEhQZw/f75osVhEUVT+3/XBxK2Uex5wfSOp9PsdCmzb2LYNBts2ZcethHsuimzb5BSutk0QxRtmYxMREREREVFUiuo5gERERERERHQNE0AiIiIiIqIYwQSQiIiIiIgoRjABJCIiIiIiihFMAImIiIiIiGIEE0AihaqpqZH+fPHiRXi93qB/hiiKnYoyD/Y9iIiI+oNtG5H8mAASKUBFRQUEQUBbWxsAwG63Y/z48bh69So8Hg/uuusuvPnmm72+x4wZM7B169YBfW5DQwPuvPNO7Nu3r1/nV1dX4/7770dTU5P02p133ol33313QJ9LRETRj20bkTIxASRSgPj4eGg0GsTHxwMATCYTvvGNb6CoqAi7d++GyWTC1772Nel8h8PR5alpSkoKjEZjp9c8Hg86Ojp6/Ny0tDQ8+uijnRq97rS3t8Pj8SA9PR0GgwHHjh0DAHzwwQfweDz48pe/DI/HIzXyREREbNuIlImF4IlkJIoi2tra4HA4kJmZicbGRrS1teG73/0uTCYTVCoVPvroI2i1Wtx+++246aabsH79emg0Gng8HqjVagC+xjAg8Frg9W9+85vYsWMHXnrpJTzzzDMwGAwQBAFerxft7e1dGtbAdRkZGfj4448BAHPmzIHFYoFGowEAOJ1OVFVVIScnR7rG7XYjIyMDH374YUjuFRERRQa2bUTKxgSQSEbl5eWYNm0aRFFEfX09Jk2ahH/7t39DRkYGtFotjh8/ju3bt+Oll16CKIqIj4/HHXfcAavVisTERKjVajidTmRmZkKj0aCjowPbtm3DN77xDQC+Rtjj8UiN2/U+/vhjzJo1Cw6Ho884RVGE0+mEXq8HALz++uvYsmULPvroo07HNRpNt59FRESxg20bkbLxbzORjLKyslBdXY3nnnsOGzduxPHjxzsdd7vdSExMxMyZMzu9npSUJP35rbfewqhRozBq1CiYTCbs3LlTaiQFQeix0WptbUViYmK/4qyoqMD06dOlJ6zV1dWIj4/H2LFjAfgayfb2dvzmN7/Bvffe29+vT0REUYhtG5GycQ4gkcw8Hg9+85vfQBRFPP7442hpacFXvvIVZGZmYtGiRTh+/Diys7MxcuRIvPzyy52u9Xq92LRpE1atWgXAN5zlgw8+wIULF/r83LKyMjQ1NWHs2LGdtrlz53aJLzMzE1VVVbh48SJOnToFg8GA9957DxcuXMCFCxdw8eJFVFVV4d577w3Jim5ERBRZ2LYRKRcTQCKZbd++HbfccgsEQUBiYiJ+9KMf4a233kJZWRlef/11TJ48GRaLBRUVFfjHf/zHTte++uqraGlpwdKlSwEAcXFxWLNmDVatWtVnY1VcXIyHHnpIauguXLiAtWvXQqXq/LOwe/duZGVl4aabbsLYsWMxYsQIuFwuPPLII10a2DFjxmDz5s1BvT9ERBR52LYRKReHgBLJ6MqVK/jRj36Ed955BwsWLMCGDRvw+eefQ6fTdTlXpVJ1asDOnz+PtWvX4ve//z20Wq30+j//8z/j97//PZYvX45t27Z1mjgfIIoiCgsL8U//9E+dXq+rq0NGRkan1x588EE8+OCDAACLxYL8/Hz87W9/w/jx44f03YmIKDqxbSNSNiaARDKyWq345je/iby8PAC+pauPHTuGRx55BImJiXA6nWhqakJ2drY0Gf2zzz6D2+3GAw88gG9961v40pe+hPb2dni9XrhcLoiiiB07duC+++5DVVUVfv3rX3dp+N544w1UVlZi8eLFnV6vq6vD8OHDu421uroaX/nKVzBmzBjMnDkTSUlJsNlsSEpKgtfrRVNTE44ePYpbbrklJPeKiIgiA9s2IoUTiUhWXq9XbGpqEnU6nSiKotjR0SE6HA7R6/WK+/fvF6dPny6d29HRIRYXF4sjR44UFy5cKF6+fFnUarWiyWQSNRqNaDAYRKPRKN50003ipUuXxPHjx4sTJkwQnU6n9B4XL14Uhw8fLj777LNdYnn44YfF559/vsvr+/btE0eNGiVu2bKl0+sARJfLFaQ7QURE0YJtG5FysQeQSGaCIMDlckn1jq4f8gL4hrQEaLVa5Obm4sknn8Tq1asRFxcnFcO955578PWvfx3f/e53pfOLiopgt9sRFxcHAPjTn/6E5cuX40tf+hJ+8pOfSOft2rULVVVV2Lt3L771rW91+vz//d//xfLly7F9+/Yu8zSIiIi6w7aNSLmYABIpgNPphNvthiiKEAShy7Hrmc1m/OAHP+j2PW6se5SUlNRpWe3S0lI88cQTeP755zvNn/jd736Hzz//HEuXLu2y1PWiRYtw8803o7m5GcnJyTCZTFKMRqOx03LZzc3NKCwsxIwZMwZ+E4iIKKqwbSNSJhaCJ1Iwt9uN9vb2ftc0IiIiUjq2bUTyYgJIREREREQUI1gHkIiIiIiIKEYwASQiIiIiIooRTACJiIiIiIhiBBNAIiIiIiKiGMEEkIiIiIiIKEYwASQiIiIiIooRTACJiIiIiIhiBBNAIiIiIiKiGMEEkIiIiIiIKEb8f9wPaJOop1IBAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 900x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟不同样本量的样本方差分布\n",
    "plt.figure(figsize=(9, 7)) # 设置画布大小\n",
    "np.random.seed(1234) # 设置随机数种子\n",
    "N = np.random.normal(0, 1, 5000) # 生成5000个标准正态分布随机数作为总体N\n",
    "n_sample = [2, 10, 30, 50] # 抽样量\n",
    "\n",
    "for i, n in enumerate(n_sample):\n",
    "    plt.subplot(2, 2, i+1) # 设置子图位置\n",
    "    sample = np.zeros(5000) # 初始化抽样方差\n",
    "    for i in range(5000):\n",
    "        sample[i] = np.var(np.random.choice(N, n)) # 随机选择n个样本，计算样本方差\n",
    "    sns.histplot(sample, bins=30, stat='density', kde=True, alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "    plt.xlim(0, 4) # 设置x轴范围\n",
    "    plt.title(f'n={n}, 样本方差的分布') # 设置子图标题\n",
    "    plt.ylabel('Density') # 设置y轴标签\n",
    "    plt.xlabel('样本方差') # 设置x轴标签\n",
    "\n",
    "plt.tight_layout() # 设置子图间距\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.4 样本比例的抽样分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟不同样本量的样本比例的分布\n",
    "plt.figure(figsize=(9, 7)) # 设置画布大小\n",
    "np.random.seed(1234) # 设置随机数种子\n",
    "P = np.random.binomial(1, 0.2, 5000) # 生成5000个二项分布随机数作为总体P, pi=0.2\n",
    "n_sample = [50, 100, 500, 1000] # 抽样量\n",
    "\n",
    "for i, n in enumerate(n_sample):\n",
    "    plt.subplot(2, 2, i+1) # 设置子图位置\n",
    "    sample = np.zeros(5000) # 初始化抽样比例\n",
    "    for i in range(5000):\n",
    "        sample[i] = np.mean(np.random.choice(P, n)) # 随机选择n个样本，计算样本比例\n",
    "    sns.histplot(sample, bins=20, stat='density', kde=True, alpha=0.5, edgecolor='None') # 绘制直方图\n",
    "    plt.xlim(0, 0.4) # 设置x轴范围\n",
    "    plt.title(f'n={n}, 样本比例的分布') # 设置子图标题\n",
    "    plt.ylabel('Density') # 设置y轴标签\n",
    "    plt.xlabel('样本比例') # 设置x轴标签\n",
    "\n",
    "plt.tight_layout() # 设置子图间距\n",
    "plt.show() # 显示图形"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3.5 统计量的标准误"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 习题"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>X</th>\n",
       "      <th>P</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0.041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0.130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>0.209</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>0.223</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>0.178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>0.114</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>0.061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>0.028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>0.011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>0.004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>0.001</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     X      P\n",
       "0    0  0.041\n",
       "1    1  0.130\n",
       "2    2  0.209\n",
       "3    3  0.223\n",
       "4    4  0.178\n",
       "5    5  0.114\n",
       "6    6  0.061\n",
       "7    7  0.028\n",
       "8    8  0.011\n",
       "9    9  0.004\n",
       "10  10  0.001"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('./exercise/chap04/exercise4_1.csv', encoding='gbk') # 读取数据\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(2<=X<=5)= 0.724\n"
     ]
    }
   ],
   "source": [
    "# (1) 有2~5台（包括2台和5台在内）冷气机出现重要缺陷的概率。\n",
    "p1 = df.query('2<=X<=5')['P'].sum() # 计算概率\n",
    "print('P(2<=X<=5)=', p1) # 输出概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<2)= 0.171\n"
     ]
    }
   ],
   "source": [
    "# (2) 只有不到2台冷气机出现重要缺陷的概率。\n",
    "p2 = df.query('X<2')['P'].sum() # 计算概率\n",
    "print('P(X<2)=', p2) # 输出概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X>5)= 0.105\n"
     ]
    }
   ],
   "source": [
    "# (3) 有超过5台冷气机出现重要缺陷的概率。\n",
    "p3 = df.query('X>5')['P'].sum() # 计算概率\n",
    "print('P(X>5)=', p3) # 输出概率"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X=2)= 0.0486\n"
     ]
    }
   ],
   "source": [
    "# (1) P(X=2)\n",
    "p1 = binom.pmf(2, 4, 0.1) # 计算概率\n",
    "print('P(X=2)=', p1) # 输出概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=2)= 0.9963\n"
     ]
    }
   ],
   "source": [
    "# (2) P(X<=2)\n",
    "p2 = binom.cdf(2, 4, 0.1) # 计算概率\n",
    "print('P(X<=2)=', p2) # 输出概率"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X>=510)     = 0.3085\n",
      "P(400<=X<=450)= 0.0062\n"
     ]
    }
   ],
   "source": [
    "# (1) X~N(500, 20^2), P(X>=510); P(400<=X<=450)。\n",
    "p1 = 1 - norm.cdf(510, loc=500, scale=20) # 计算概率\n",
    "p2 = norm.cdf(450, loc=500, scale=20) - norm.cdf(400, loc=500, scale=20) # 计算概率\n",
    "print('P(X>=510)     =', round(p1, 4)) # 输出概率\n",
    "print('P(400<=X<=450)=', round(p2, 4)) # 输出概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(0<=Z<=1.2)  = 0.3849\n",
      "P(-0.48<=Z<=0)= 0.1844\n",
      "P(Z>=12)      = 0.0\n"
     ]
    }
   ],
   "source": [
    "# (2) Z~N(0, 1), P(0<=Z<=1.2); P(-0.48<=Z<=0); P(Z>=12)。\n",
    "p1 = norm.cdf(1.2, 0, 1) - norm.cdf(0, 0, 1) # 计算概率\n",
    "p2 = norm.cdf(0, 0, 1) - norm.cdf(-0.48, 0, 1) # 计算概率\n",
    "p3 = 1 - norm.cdf(12, 0, 1) # 计算概率\n",
    "print('P(0<=Z<=1.2)  =', round(p1, 4)) # 输出概率\n",
    "print('P(-0.48<=Z<=0)=', round(p2, 4)) # 输出概率\n",
    "print('P(Z>=12)      =', round(p3, 4)) # 输出概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "q(0.95)= 1.6449\n"
     ]
    }
   ],
   "source": [
    "# (3) 标准正态分布累积概率为0.95时的反函数值z。\n",
    "q = norm.ppf(0.95, 0, 1) # 计算反函数值\n",
    "print('q(0.95)=', round(q, 4)) # 输出反函数值"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=-1.5, df=15)= 0.0772\n",
      "P(X>2, df=20)    = 0.0296\n",
      "q(0.95, df=30)   = 1.6973\n"
     ]
    }
   ],
   "source": [
    "# (1) X~t(df), df=15, t值小于-1.5的概率; df=20, t值大于2的概率; df=30, t分布右尾概率为0.05时的t值。\n",
    "p1 = t.cdf(-1.5, df=15) # 计算概率\n",
    "p2 = 1 - t.cdf(2, df=20) # 计算概率\n",
    "q = t.ppf(0.95, df=30) # 计算反函数值\n",
    "print('P(X<=-1.5, df=15)=', round(p1, 4)) # 输出概率\n",
    "print('P(X>2, df=20)    =', round(p2, 4)) # 输出概率\n",
    "print('q(0.95, df=30)   =', round(q, 4)) # 输出反函数值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=12, df=8) = 0.8488\n",
      "P(X>18, df=20) = 0.5874\n",
      "q(0.975, df=15)= 27.4884\n"
     ]
    }
   ],
   "source": [
    "# (2) X~chi2(df), df=8, chi2值小于12的概率; df=20, chi2值大于18的概率; df=15, chi2分布右尾概率为0.025时的反函数值。\n",
    "p1 = chi2.cdf(12, df=8) # 计算概率\n",
    "p2 = 1 - chi2.cdf(18, df=20) # 计算概率\n",
    "q = chi2.ppf(0.975, df=15) # 计算反函数值\n",
    "print('P(X<=12, df=8) =', round(p1, 4)) # 输出概率\n",
    "print('P(X>18, df=20) =', round(p2, 4)) # 输出概率\n",
    "print('q(0.975, df=15)=', round(q, 4)) # 输出反函数值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X<=3.5, 15, 10)= 0.9745\n",
      "P(X>3, 12, 8)    = 0.0635\n",
      "q(0.975, 20, 16) = 2.6808\n"
     ]
    }
   ],
   "source": [
    "# (3) X~F(df1, df2), df1=15, df2=10, F值小于3.5的概率; df1=12, df2=8, F值大于3的概率; \n",
    "# df1=20, df2=16, F分布右尾概率为0.025时的F值。\n",
    "p1 = f.cdf(3.5, dfn=15, dfd=10) # 计算概率\n",
    "p2 = 1 - f.cdf(3, dfn=12, dfd=8) # 计算概率\n",
    "q = f.ppf(0.975, dfn=20, dfd=16) # 计算反函数值\n",
    "print('P(X<=3.5, 15, 10)=', round(p1, 4)) # 输出概率\n",
    "print('P(X>3, 12, 8)    =', round(p2, 4)) # 输出概率\n",
    "print('q(0.975, 20, 16) =', round(q, 4)) # 输出反函数值"
   ]
  }
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